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10083416256 = 263220538527
BaseRepresentation
bin10010110010000010…
…01011100011000000
3222000201201121201100
421121001023203000
5131122323310011
64344322334400
7504606424014
oct113101134300
928021647640
1010083416256
114304909971
121b54aba400
13c490757c4
146b9278544
153e0388d56
hex25904b8c0

10083416256 has 84 divisors (see below), whose sum is σ = 28919761312. Its totient is φ = 3359107584.

The previous prime is 10083416219. The next prime is 10083416281. The reversal of 10083416256 is 65261438001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10083416256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178265 + ... + 1186791.

Almost surely, 210083416256 is an apocalyptic number.

10083416256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10083416256 is an abundant number, since it is smaller than the sum of its proper divisors (18836345056).

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

10083416256 is a wasteful number, since it uses less digits than its factorization.

10083416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10083416256 in words is "ten billion, eighty-three million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2053 4106 6159 8212 8527 12318 16424 17054 18477 24636 25581 32848 34108 36954 49272 51162 65696 68216 73908 76743 98544 102324 131392 136432 147816 153486 197088 204648 272864 295632 306972 394176 409296 545728 591264 613944 818592 1182528 1227888 1637184 2455776 4911552 17505931 35011862 52517793 70023724 105035586 140047448 157553379 210071172 280094896 315106758 420142344 560189792 630213516 840284688 1120379584 1260427032 1680569376 2520854064 3361138752 5041708128 10083416256