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11869857810756 = 2232112522012
BaseRepresentation
bin1010110010111010101010…
…1010001000100101000100
31120000202011210120220012100
42230232222222020211010
53023433432044421011
641124534251152100
72333366066446161
oct254565252104504
946022153526170
1011869857810756
113866a84318900
1213b855b445630
1368142722240a
142d070b69d068
15158b67871d56
hexacbaaa88944

11869857810756 has 81 divisors (see below), whose sum is σ = 32980633886109. Its totient is φ = 3596857704000.

The previous prime is 11869857810739. The next prime is 11869857810781. The reversal of 11869857810756 is 65701875896811.

It is a happy number.

The square root of 11869857810756 is 3445266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10099467897156 + 1770389913600 = 3177966^2 + 1330560^2 .

It is a super-2 number, since 2×118698578107562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227361456 + ... + 227413656.

Almost surely, 211869857810756 is an apocalyptic number.

11869857810756 is the 3445266-th square number.

It is an amenable number.

11869857810756 is an abundant number, since it is smaller than the sum of its proper divisors (21110776075353).

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

11869857810756 is an frugal number, since it uses more digits than its factorization.

11869857810756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104434 (or 52217 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 72.

The spelling of 11869857810756 in words is "eleven trillion, eight hundred sixty-nine billion, eight hundred fifty-seven million, eight hundred ten thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 52201 104402 156603 208804 313206 469809 574211 626412 939618 1148422 1722633 1879236 2296844 3445266 5167899 6316321 6890532 10335798 12632642 18948963 20671596 25265284 37897926 56846889 75795852 113693778 227387556 2724944401 5449888802 8174833203 10899777604 16349666406 24524499609 29974388411 32699332812 49048999218 59948776822 89923165233 98097998436 119897553644 179846330466 269769495699 329718272521 359692660932 539538991398 659436545042 989154817563 1079077982796 1318873090084 1978309635126 2967464452689 3956619270252 5934928905378 11869857810756