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42692650884 = 22341328832
BaseRepresentation
bin100111110000101011…
…100010011110000100
311002012022202101010000
4213300223202132010
51144413304312014
631340203401300
73040651354632
oct476053423604
9132168671100
1042692650884
1117118985554
128335823230
134044b94c00
1420d004a352
15119d0b9509
hex9f0ae2784

42692650884 has 135 divisors (see below), whose sum is σ = 120989595573. Its totient is φ = 13121323488.

The previous prime is 42692650867. The next prime is 42692650901. The reversal of 42692650884 is 48805629624.

The square root of 42692650884 is 206622.

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

42692650884 is a `hidden beast` number, since 42 + 6 + 92 + 6 + 508 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42692650867) and next prime (42692650901).

It can be written as a sum of positive squares in only one way, i.e., 6315480900 + 36377169984 = 79470^2 + 190728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42692650884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48349107 + ... + 48349989.

Almost surely, 242692650884 is an apocalyptic number.

42692650884 is the 206622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42692650884

42692650884 is an abundant number, since it is smaller than the sum of its proper divisors (78296944689).

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

42692650884 is an equidigital number, since it uses as much as digits as its factorization.

42692650884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 42692650884 in words is "forty-two billion, six hundred ninety-two million, six hundred fifty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 883 1014 1053 1404 1521 1766 2028 2106 2649 3042 3532 4212 4563 5298 6084 7947 9126 10596 11479 13689 15894 18252 22958 23841 27378 31788 34437 45916 47682 54756 68874 71523 95364 103311 137748 143046 149227 206622 286092 298454 309933 413244 447681 596908 619866 779689 895362 929799 1239732 1343043 1559378 1790724 1859598 2339067 2686086 3118756 3719196 4029129 4678134 5372172 7017201 8058258 9356268 10135957 12087387 14034402 16116516 20271914 21051603 24174774 28068804 30407871 40543828 42103206 48349548 60815742 63154809 84206412 91223613 121631484 126309618 131767441 182447226 252619236 263534882 273670839 364894452 395302323 527069764 547341678 790604646 821012517 1094683356 1185906969 1581209292 1642025034 2371813938 3284050068 3557720907 4743627876 7115441814 10673162721 14230883628 21346325442 42692650884