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56890734768 = 24327313180317
BaseRepresentation
bin110100111110111100…
…111011100010110000
312102211210221202200200
4310332330323202300
51413003012003033
642045113515200
74052543160330
oct647674734260
9172753852620
1056890734768
112214437807a
12b038712b00
135498539b8a
142a799670c0
15172e7c9013
hexd3ef3b8b0

56890734768 has 120 divisors (see below), whose sum is σ = 182542402848. Its totient is φ = 16202474496.

The previous prime is 56890734763. The next prime is 56890734773. The reversal of 56890734768 is 86743709865.

56890734768 is a `hidden beast` number, since 5 + 6 + 8 + 90 + 73 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56890734763) and next prime (56890734773).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56890734763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225346 + ... + 405662.

Almost surely, 256890734768 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 56890734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91271201424).

56890734768 is an abundant number, since it is smaller than the sum of its proper divisors (125651668080).

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

56890734768 is a wasteful number, since it uses less digits than its factorization.

56890734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180651 (or 180642 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 56890734768 in words is "fifty-six billion, eight hundred ninety million, seven hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 313 336 504 626 939 1008 1252 1878 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 11268 13146 15024 17528 19719 22536 26292 35056 39438 45072 52584 78876 105168 157752 180317 315504 360634 540951 721268 1081902 1262219 1442536 1622853 2163804 2524438 2885072 3245706 3786657 4327608 5048876 6491412 7573314 8655216 10097752 11359971 12982824 15146628 20195504 22719942 25965648 30293256 45439884 56439221 60586512 90879768 112878442 169317663 181759536 225756884 338635326 395074547 451513768 507952989 677270652 790149094 903027536 1015905978 1185223641 1354541304 1580298188 2031811956 2370447282 2709082608 3160596376 3555670923 4063623912 4740894564 6321192752 7111341846 8127247824 9481789128 14222683692 18963578256 28445367384 56890734768