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21164267869902 = 23219611039849407
BaseRepresentation
bin1001100111111101100001…
…01010110001011011001110
32202221021200012212100000100
410303332300222301123032
510233223410033314102
6113002421435111530
74313032200440343
oct463766052613316
982837605770010
1021164267869902
11681a7965089a3
12245993a5a25a6
13ba6a21a98ca1
145324dad3a7ca
1526a7e7ac3a1c
hex133fb0ab16ce

21164267869902 has 96 divisors (see below), whose sum is σ = 49537006571520. Its totient is φ = 6510063389760.

The previous prime is 21164267869781. The next prime is 21164267869931. The reversal of 21164267869902 is 20996876246112.

21164267869902 is a `hidden beast` number, since 2 + 116 + 426 + 7 + 8 + 6 + 9 + 90 + 2 = 666.

It is a super-2 number, since 2×211642678699022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21164267869902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2775918 + ... + 7073489.

It is an arithmetic number, because the mean of its divisors is an integer number (516010485120).

Almost surely, 221164267869902 is an apocalyptic number.

21164267869902 is an abundant number, since it is smaller than the sum of its proper divisors (28372738701618).

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

21164267869902 is a wasteful number, since it uses less digits than its factorization.

21164267869902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849598 (or 9849595 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 21164267869902 in words is "twenty-one trillion, one hundred sixty-four billion, two hundred sixty-seven million, eight hundred sixty-nine thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 61 103 114 122 171 183 206 309 342 366 549 618 927 1098 1159 1854 1957 2318 3477 3914 5871 6283 6954 10431 11742 12566 17613 18849 20862 35226 37698 56547 113094 119377 238754 358131 716262 1074393 2148786 9849407 19698814 29548221 59096442 88644663 177289326 187138733 374277466 561416199 600813827 1014488921 1122832398 1201627654 1684248597 1802441481 2028977842 3043466763 3368497194 3604882962 5407324443 6086933526 9130400289 10814648886 11415462713 18260800578 19275289499 22830925426 34246388139 38550578998 57825868497 61883824181 68492776278 102739164417 115651736994 123767648362 173477605491 185651472543 205478328834 346955210982 371302945086 556954417629 1113908835258 1175792659439 2351585318878 3527377978317 7054755956634 10582133934951 21164267869902