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27234863604 = 22351317912041
BaseRepresentation
bin11001010111010100…
…110000100111110100
32121022001012102100000
4121113110300213310
5421234111113404
620302253351300
71652622343464
oct312724604764
977261172300
1027234863604
1110606409143
125340a98530
132750553810
1414650dbba4
15a95ec9339
hex6575309f4

27234863604 has 144 divisors (see below), whose sum is σ = 77321200320. Its totient is φ = 8332450560.

The previous prime is 27234863581. The next prime is 27234863627. The reversal of 27234863604 is 40636843272.

27234863604 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 4 + 8 + 636 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27234863581) and next prime (27234863627).

It is a self number, because there is not a number n which added to its sum of digits gives 27234863604.

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, 2255824 + ... + 2267864.

It is an arithmetic number, because the mean of its divisors is an integer number (536952780).

Almost surely, 227234863604 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 27234863604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38660600160).

27234863604 is an abundant number, since it is smaller than the sum of its proper divisors (50086336716).

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

27234863604 is a wasteful number, since it uses less digits than its factorization.

27234863604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 27234863604 in words is "twenty-seven billion, two hundred thirty-four million, eight hundred sixty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 179 234 243 324 351 358 468 486 537 702 716 972 1053 1074 1404 1611 2106 2148 2327 3159 3222 4212 4654 4833 6318 6444 6981 9308 9666 12041 12636 13962 14499 19332 20943 24082 27924 28998 36123 41886 43497 48164 57996 62829 72246 83772 86994 108369 125658 144492 156533 173988 188487 216738 251316 313066 325107 376974 433476 469599 565461 626132 650214 753948 939198 975321 1130922 1300428 1408797 1878396 1950642 2155339 2261844 2817594 2925963 3901284 4226391 4310678 5635188 5851926 6466017 8452782 8621356 11703852 12679173 12932034 16905564 19398051 25358346 25864068 28019407 38037519 38796102 50716692 56038814 58194153 76075038 77592204 84058221 112077628 116388306 152150076 168116442 174582459 232776612 252174663 336232884 349164918 504349326 523747377 698329836 756523989 1008698652 1047494754 1513047978 2094989508 2269571967 3026095956 4539143934 6808715901 9078287868 13617431802 27234863604