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37992668688 = 243213171193837
BaseRepresentation
bin100011011000100010…
…100001111000010000
310122001202220112121100
4203120202201320100
51110302110344223
625241550424400
72513331232632
oct433042417020
9118052815540
1037992668688
1115126964347
127443802100
13377623c260
141ba5b64a52
15ec5677043
hex8d88a1e10

37992668688 has 120 divisors (see below), whose sum is σ = 121241411928. Its totient is φ = 11002392576.

The previous prime is 37992668687. The next prime is 37992668731. The reversal of 37992668688 is 88686629973.

It can be written as a sum of positive squares in 4 ways, for example, as 9692008704 + 28300659984 = 98448^2 + 168228^2 .

It is a super-2 number, since 2×379926686882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (37992668687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565095 + ... + 628742.

Almost surely, 237992668688 is an apocalyptic number.

It is an amenable number.

37992668688 is an abundant number, since it is smaller than the sum of its proper divisors (83248743240).

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

37992668688 is a wasteful number, since it uses less digits than its factorization.

37992668688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193881 (or 1193872 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 37992668688 in words is "thirty-seven billion, nine hundred ninety-two million, six hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 1193837 2387674 3581511 4775348 7163022 9550696 10744533 14326044 15519881 19101392 20295229 21489066 28652088 31039762 40590458 42978132 46559643 57304176 60885687 62079524 81180916 85956264 93119286 121771374 124159048 139678929 162361832 171912528 182657061 186238572 243542748 248318096 263837977 279357858 324723664 365314122 372477144 487085496 527675954 558715716 730628244 744954288 791513931 974170992 1055351908 1117431432 1461256488 1583027862 2110703816 2234862864 2374541793 2922512976 3166055724 4221407632 4749083586 6332111448 9498167172 12664222896 18996334344 37992668688