Search a number
-
+
52284052754112 = 2634314814276067
BaseRepresentation
bin10111110001101010101000…
…11001000100111011000000
320212010022021112101010002110
423320311110121010323000
523323110220001112422
6303110543502415320
714004253365456354
oct1370652431047300
9225108245333073
1052284052754112
11157285a6812313
125a44bbb591540
132323498c4087a
14cca7c127b464
1560a06527660c
hex2f8d54644ec0

52284052754112 has 112 divisors (see below), whose sum is σ = 141647591809152. Its totient is φ = 17011216803840.

The previous prime is 52284052754111. The next prime is 52284052754113. The reversal of 52284052754112 is 21145725048225.

It is an interprime number because it is at equal distance from previous prime (52284052754111) and next prime (52284052754113).

It is a super-2 number, since 2×522840527541122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (52284052754111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10089103 + ... + 14365169.

Almost surely, 252284052754112 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 52284052754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70823795904576).

52284052754112 is an abundant number, since it is smaller than the sum of its proper divisors (89363539055040).

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

52284052754112 is a wasteful number, since it uses less digits than its factorization.

52284052754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277606 (or 4277596 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 52284052754112 in words is "fifty-two trillion, two hundred eighty-four billion, fifty-two million, seven hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 1481 2064 2752 2962 4128 4443 5924 8256 8886 11848 17772 23696 35544 47392 63683 71088 94784 127366 142176 191049 254732 284352 382098 509464 764196 1018928 1528392 2037856 3056784 4075712 4276067 6113568 8552134 12227136 12828201 17104268 25656402 34208536 51312804 68417072 102625608 136834144 183870881 205251216 273668288 367741762 410502432 551612643 735483524 821004864 1103225286 1470967048 2206450572 2941934096 4412901144 5883868192 6332855227 8825802288 11767736384 12665710454 17651604576 18998565681 25331420908 35303209152 37997131362 50662841816 75994262724 101325683632 151988525448 202651367264 272312774761 303977050896 405302734528 544625549522 607954101792 816938324283 1089251099044 1215908203584 1633876648566 2178502198088 3267753297132 4357004396176 6535506594264 8714008792352 13071013188528 17428017584704 26142026377056 52284052754112