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355455132552 = 233213288333083
BaseRepresentation
bin1010010110000101100…
…01101110001110001000
31020222111021112122102100
411023002301232032020
521310433003220202
6431143245033400
734452336526542
oct5130261561610
91228437478370
10355455132552
11127825179163
1258a81255860
1327699b03100
14132c016a692
1593a5e0e41c
hex52c2c6e388

355455132552 has 144 divisors (see below), whose sum is σ = 1043652645360. Its totient is φ = 109243645056.

The previous prime is 355455132523. The next prime is 355455132601. The reversal of 355455132552 is 255231554553.

It is a happy number.

355455132552 is a `hidden beast` number, since 3 + 5 + 5 + 45 + 51 + 3 + 2 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 355455132498 and 355455132507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10727803 + ... + 10760885.

It is an arithmetic number, because the mean of its divisors is an integer number (7247587815).

Almost surely, 2355455132552 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 355455132552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521826322680).

355455132552 is an abundant number, since it is smaller than the sum of its proper divisors (688197512808).

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

355455132552 is a wasteful number, since it uses less digits than its factorization.

355455132552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34004 (or 33984 counting only the distinct ones).

The product of its digits is 2250000, while the sum is 45.

The spelling of 355455132552 in words is "three hundred fifty-five billion, four hundred fifty-five million, one hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 883 936 1014 1352 1521 1766 2028 2649 3042 3532 4056 5298 6084 7064 7947 10596 11479 12168 15894 21192 22958 31788 33083 34437 45916 63576 66166 68874 91832 99249 103311 132332 137748 149227 198498 206622 264664 275496 297747 298454 396996 413244 430079 447681 595494 596908 793992 826488 860158 895362 1190988 1193816 1290237 1343043 1720316 1790724 2381976 2580474 2686086 3440632 3581448 3870711 5160948 5372172 5591027 7741422 10321896 10744344 11182054 15482844 16773081 22364108 29212289 30965688 33546162 44728216 50319243 58424578 67092324 87636867 100638486 116849156 134184648 175273734 201276972 233698312 262910601 350547468 379759757 402553944 525821202 701094936 759519514 1051642404 1139279271 1519039028 2103284808 2278558542 3038078056 3417837813 4557117084 4936876841 6835675626 9114234168 9873753682 13671351252 14810630523 19747507364 27342702504 29621261046 39495014728 44431891569 59242522092 88863783138 118485044184 177727566276 355455132552