Search a number
-
+
354255646552452 = 2232233185716104377
BaseRepresentation
bin101000010001100011001000…
…1111110001111000110000100
31201110022111202002212222211200
41100203012101332033012010
5332413111031004134302
63253234444120302500
7134422061111106201
oct12043062176170604
91643274662788750
10354255646552452
11a2970a810648a7
123389514b311a30
13122892197889a8
14636a0c9a76ca8
152ae5007d6081c
hex1423191f8f184

354255646552452 has 144 divisors (see below), whose sum is σ = 965681376371712. Its totient is φ = 109179939179520.

The previous prime is 354255646552411. The next prime is 354255646552469. The reversal of 354255646552452 is 254255646552453.

It is a happy number.

354255646552452 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 5 + 56 + 4 + 6 + 5 + 524 + 52 = 666.

It is a super-3 number, since 3×3542556465524523 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 354255646552452.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13945288 + ... + 30049664.

It is an arithmetic number, because the mean of its divisors is an integer number (6706120669248).

Almost surely, 2354255646552452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354255646552452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482840688185856).

354255646552452 is an abundant number, since it is smaller than the sum of its proper divisors (611425729819260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354255646552452 is a wasteful number, since it uses less digits than its factorization.

354255646552452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105298 (or 16105293 counting only the distinct ones).

The product of its digits is 864000000, while the sum is 63.

Subtracting from 354255646552452 its reverse (254255646552453), we obtain a palindrome (99999999999999).

The spelling of 354255646552452 in words is "three hundred fifty-four trillion, two hundred fifty-five billion, six hundred forty-six million, five hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 857 1116 1426 1714 2139 2571 2852 3428 4278 5142 6417 7713 8556 10284 12834 15426 19711 25668 26567 30852 39422 53134 59133 78844 79701 106268 118266 159402 177399 236532 239103 318804 354798 478206 611041 709596 956412 1222082 1833123 2444164 3666246 5499369 7332492 10998738 16104377 21997476 32208754 48313131 64417508 96626262 144939393 193252524 289878786 370400671 499235687 579757572 740801342 998471374 1111202013 1481602684 1497707061 1996942748 2222404026 2995414122 3333606039 4444808052 4493121183 5990828244 6667212078 8986242366 11482420801 13334424156 13801451089 17972484732 22964841602 27602902178 34447262403 41404353267 45929683204 55205804356 68894524806 82808706534 103341787209 124213059801 137789049612 165617413068 206683574418 248426119602 317433375047 413367148836 427844983759 496852239204 634866750094 855689967518 952300125141 1269733500188 1283534951277 1711379935036 1904600250282 2567069902554 2856900375423 3809200500564 3850604853831 5134139805108 5713800750846 7701209707662 9840434626457 11427601501692 15402419415324 19680869252914 29521303879371 39361738505828 59042607758742 88563911638113 118085215517484 177127823276226 354255646552452