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105274455426 = 23272503923687
BaseRepresentation
bin110001000001011011…
…0001011010110000010
3101001201202110102212200
41202002312023112002
53211100230033201
6120210140534030
710414541051400
oct1420266132602
9331652412780
10105274455426
114071275a578
12184a0251316
139c0949409a
145149766470
152b12306386
hex1882d8b582

105274455426 has 72 divisors (see below), whose sum is σ = 265398456960. Its totient is φ = 30071177136.

The previous prime is 105274455421. The next prime is 105274455449. The reversal of 105274455426 is 624554472501.

105274455426 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 74 + 4 + 554 + 26 = 666.

It is a super-2 number, since 2×1052744554262 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105274455421) 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, 4432555 + ... + 4456241.

It is an arithmetic number, because the mean of its divisors is an integer number (3686089680).

Almost surely, 2105274455426 is an apocalyptic number.

105274455426 is an abundant number, since it is smaller than the sum of its proper divisors (160124001534).

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

105274455426 is a wasteful number, since it uses less digits than its factorization.

105274455426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28748 (or 28738 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 105274455426 in words is "one hundred five billion, two hundred seventy-four million, four hundred fifty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 5039 10078 15117 23687 30234 35273 45351 47374 70546 71061 90702 105819 142122 165809 211638 213183 246911 317457 331618 426366 493822 497427 634914 740733 994854 1160663 1481466 1492281 2222199 2321326 2984562 3481989 4444398 6963978 10445967 20891934 119358793 238717586 358076379 716152758 835511551 1074229137 1671023102 2148458274 2506534653 5013069306 5848580857 7519603959 11697161714 15039207918 17545742571 35091485142 52637227713 105274455426