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255689505986552 = 231123779502113921
BaseRepresentation
bin111010001000110001011010…
…001011010101011111111000
31020112022200022022001201200122
4322020301122023111133320
5232003204102013032202
62303450045405352412
7104566646214011201
oct7210613213253770
91215280268051618
10255689505986552
117451a346354a00
122481640a268708
13ac89556088621
14471d61c2bc5a8
151e8610e0859a2
hexe88c5a2d57f8

255689505986552 has 96 divisors (see below), whose sum is σ = 527245689272400. Its totient is φ = 116160261888000.

The previous prime is 255689505986501. The next prime is 255689505986567.

255689505986552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2556895059865522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18367172552 + ... + 18367186472.

Almost surely, 2255689505986552 is an apocalyptic number.

255689505986552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255689505986552 is an abundant number, since it is smaller than the sum of its proper divisors (271556183285848).

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

255689505986552 is a wasteful number, since it uses less digits than its factorization.

255689505986552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 11664000000, while the sum is 80.

The spelling of 255689505986552 in words is "two hundred fifty-five trillion, six hundred eighty-nine billion, five hundred five million, nine hundred eighty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 3779 5021 7558 10042 13921 15116 20084 27842 30232 40168 41569 55231 55684 83138 110462 111368 153131 166276 220924 306262 332552 441848 457259 607541 612524 914518 1215082 1225048 1684441 1829036 2430164 3368882 3658072 4860328 6737764 13475528 18974359 37948718 52607459 69897341 75897436 105214918 139794682 151794872 208717949 210429836 279589364 417435898 420859672 559178728 578682049 768870751 834871796 1157364098 1537741502 1669743592 2295897439 2314728196 3075483004 4591794878 4629456392 6150966008 6365502539 8457578261 9183589756 12731005078 16915156522 18367179512 25462010156 33830313044 50924020312 67660626088 264142051639 528284103278 1056568206556 2113136413112 2905562568029 5811125136058 11622250272116 23244500544232 31961188248319 63922376496638 127844752993276 255689505986552