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21602635411253 = 132292241630677
BaseRepresentation
bin1001110100101110000010…
…11010001110111100110101
32211111012011210201202020012
410322113001122032330311
510312414144131130003
6113540040320550005
74356511305163451
oct472270132167465
984435153652205
1021602635411253
116979698567a56
12250a89aa82305
13c091731caa00
14549804967661
15276e029e28d8
hex13a5c168ef35

21602635411253 has 36 divisors (see below), whose sum is σ = 24327209345868. Its totient is φ = 19173357665280.

The previous prime is 21602635411241. The next prime is 21602635411271. The reversal of 21602635411253 is 35211453620612.

It can be written as a sum of positive squares in 18 ways, for example, as 20970327359569 + 632308051684 = 4579337^2 + 795178^2 .

It is not a de Polignac number, because 21602635411253 - 214 = 21602635394869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21602635411253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21602635411283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33937751 + ... + 34568427.

It is an arithmetic number, because the mean of its divisors is an integer number (675755815163).

Almost surely, 221602635411253 is an apocalyptic number.

It is an amenable number.

21602635411253 is a deficient number, since it is larger than the sum of its proper divisors (2724573934615).

21602635411253 is a wasteful number, since it uses less digits than its factorization.

21602635411253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631002 (or 630960 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 21602635411253 in words is "twenty-one trillion, six hundred two billion, six hundred thirty-five million, four hundred eleven thousand, two hundred fifty-three".

Divisors: 1 13 29 169 241 377 841 3133 4901 6989 10933 40729 90857 142129 202681 630677 1181141 2634853 8198801 18289633 34253089 106584413 151993157 237765229 530399357 1975911041 3090947977 4407801553 6895191641 25686843533 57301420189 89637491333 127826245037 744918462457 1661741185481 21602635411253