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18676912128 = 21237231019
BaseRepresentation
bin10001011001001110…
…110001000000000000
31210012121220102220020
4101121032301000000
5301222242142003
612325143013440
71230555063600
oct213116610000
953177812806
1018676912128
117a146a2576
123752a3a280
1319b8547bc4
14c926b4c00
15744a19d53
hex4593b1000

18676912128 has 156 divisors (see below), whose sum is σ = 57931338960. Its totient is φ = 5336088576.

The previous prime is 18676912043. The next prime is 18676912151. The reversal of 18676912128 is 82121967681.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586603 + ... + 617621.

Almost surely, 218676912128 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 18676912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28965669480).

18676912128 is an abundant number, since it is smaller than the sum of its proper divisors (39254426832).

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

18676912128 is an equidigital number, since it uses as much as digits as its factorization.

18676912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31060 (or 31031 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The spelling of 18676912128 in words is "eighteen billion, six hundred seventy-six million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 9408 10752 12288 12544 14336 18816 21504 25088 28672 31019 37632 43008 50176 62038 75264 86016 93057 100352 124076 150528 186114 200704 217133 248152 301056 372228 434266 496304 602112 651399 744456 868532 992608 1302798 1488912 1519931 1737064 1985216 2605596 2977824 3039862 3474128 3970432 4559793 5211192 5955648 6079724 6948256 7940864 9119586 10422384 11911296 12159448 13896512 15881728 18239172 20844768 23822592 24318896 27793024 31763456 36478344 41689536 47645184 48637792 55586048 63526912 72956688 83379072 95290368 97275584 111172096 127053824 145913376 166758144 190580736 194551168 222344192 291826752 333516288 381161472 389102336 444688384 583653504 667032576 778204672 889376768 1167307008 1334065152 1556409344 2334614016 2668130304 3112818688 4669228032 6225637376 9338456064 18676912128