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18128038656 = 283713259387
BaseRepresentation
bin10000111000100000…
…111110101100000000
31201210101002210001010
4100320200332230000
5244111234214111
612154454440520
71211141533440
oct207040765400
951711083033
1018128038656
117762894832
12361b063140
13192b9103c0
14c3d83a120
1571174aaa6
hex43883eb00

18128038656 has 144 divisors (see below), whose sum is σ = 59381176064. Its totient is φ = 4781002752.

The previous prime is 18128038637. The next prime is 18128038657. The reversal of 18128038656 is 65683082181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18128038657) 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 15 ways as a sum of consecutive naturals, for example, 59806 + ... + 199581.

Almost surely, 218128038656 is an apocalyptic number.

18128038656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18128038656 is an abundant number, since it is smaller than the sum of its proper divisors (41253137408).

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

18128038656 is a wasteful number, since it uses less digits than its factorization.

18128038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259426 (or 259412 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 18128038656 in words is "eighteen billion, one hundred twenty-eight million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 259387 518774 778161 1037548 1556322 1815709 2075096 3112644 3372031 3631418 4150192 5447127 6225288 6744062 7262836 8300384 10116093 10894254 12450576 13488124 14525672 16600768 20232186 21788508 23604217 24901152 26976248 29051344 33201536 40464372 43577016 47208434 49802304 53952496 58102688 66403072 70812651 80928744 87154032 94416868 99604608 107904992 116205376 141625302 161857488 174308064 188833736 199209216 215809984 232410752 283250604 323714976 348616128 377667472 431619968 464821504 566501208 647429952 697232256 755334944 863239936 1133002416 1294859904 1394464512 1510669888 2266004832 2589719808 3021339776 4532009664 6042679552 9064019328 18128038656