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56891913984 = 2832191129281
BaseRepresentation
bin110100111111000001…
…011011011100000000
312102211220011200021100
4310333001123130000
51413003312221414
642045155054400
74052556201303
oct647701333400
9172756150240
1056891913984
1122145003034
12b038ba1400
135498860839
142a79b92b3a
15172e95d609
hexd3f05b700

56891913984 has 108 divisors (see below), whose sum is σ = 164893502592. Its totient is φ = 18864537600.

The previous prime is 56891913983. The next prime is 56891914033. The reversal of 56891913984 is 48931919865.

56891913984 is a `hidden beast` number, since 56 + 8 + 9 + 191 + 398 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56891913983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375424 + ... + 504704.

Almost surely, 256891913984 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 56891913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82446751296).

56891913984 is an abundant number, since it is smaller than the sum of its proper divisors (108001588608).

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

56891913984 is a wasteful number, since it uses less digits than its factorization.

56891913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129494 (or 129477 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 56891913984 in words is "fifty-six billion, eight hundred ninety-one million, nine hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 573 576 764 768 1146 1152 1528 1719 2292 2304 3056 3438 4584 6112 6876 9168 12224 13752 18336 24448 27504 36672 48896 55008 73344 110016 129281 146688 220032 258562 387843 440064 517124 775686 1034248 1163529 1551372 2068496 2327058 3102744 4136992 4654116 6205488 8273984 9308232 12410976 16547968 18616464 24692671 24821952 33095936 37232928 49385342 49643904 74078013 74465856 98770684 99287808 148156026 148931712 197541368 222234039 296312052 297863424 395082736 444468078 592624104 790165472 888936156 1185248208 1580330944 1777872312 2370496416 3160661888 3555744624 4740992832 6321323776 7111489248 9481985664 14222978496 18963971328 28445956992 56891913984