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21531070760706 = 232131911831126309
BaseRepresentation
bin1001110010101000101111…
…10100110000011100000010
32211020100110100012211022100
410321110113310300130002
510310231113103320311
6113443123134051230
74351366001532423
oct471242764603402
984210410184270
1021531070760706
116951304148861
1224b8a48049b16
13c024a9876440
1454617621d64a
15275114d66a56
hex139517d30702

21531070760706 has 96 divisors (see below), whose sum is σ = 50506875095040. Its totient is φ = 6589648886400.

The previous prime is 21531070760699. The next prime is 21531070760707. The reversal of 21531070760706 is 60706707013512.

21531070760706 is a `hidden beast` number, since 2 + 1 + 5 + 31 + 0 + 7 + 0 + 7 + 607 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (21531070760707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818378680 + ... + 818404988.

It is an arithmetic number, because the mean of its divisors is an integer number (526113282240).

Almost surely, 221531070760706 is an apocalyptic number.

21531070760706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21531070760706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25253437547520).

21531070760706 is an abundant number, since it is smaller than the sum of its proper divisors (28975804334334).

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

21531070760706 is a wasteful number, since it uses less digits than its factorization.

21531070760706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44832 (or 44829 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 21531070760706 in words is "twenty-one trillion, five hundred thirty-one billion, seventy million, seven hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1146 1719 2483 3438 4966 7449 14898 18311 22347 26309 36622 44694 52618 54933 78927 109866 157854 164799 236781 238043 329598 342017 473562 476086 684034 714129 1026051 1428258 2052102 2142387 3078153 3497401 4284774 5025019 6156306 6994802 10050038 10492203 15075057 20984406 30150114 31476609 45225171 45466213 62953218 65325247 90450342 90932426 130650494 136398639 195975741 272797278 391951482 409195917 481744099 587927223 818391834 963488198 1175854446 1445232297 2890464594 4335696891 6262673287 8671393782 12525346574 18788019861 37576039722 56364059583 92013122909 112728119166 184026245818 276039368727 552078737454 828118106181 1196170597817 1656236212362 2392341195634 3588511793451 7177023586902 10765535380353 21531070760706