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56718903564 = 22331739077907
BaseRepresentation
bin110100110100101101…
…011100100100001100
312102101211121211121000
4310310231130210030
51412130014403224
642020054540300
74045355503611
oct646455344414
9172354554530
1056718903564
1122066384814
12abab067690
13546ba661cb
142a60bd8508
15171e6860c9
hexd34b5c90c

56718903564 has 96 divisors (see below), whose sum is σ = 155758498560. Its totient is φ = 17787361536.

The previous prime is 56718903559. The next prime is 56718903583. The reversal of 56718903564 is 46530981765.

56718903564 is a `hidden beast` number, since 5 + 6 + 71 + 8 + 9 + 0 + 3 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56718903564.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7169299 + ... + 7177205.

It is an arithmetic number, because the mean of its divisors is an integer number (1622484360).

Almost surely, 256718903564 is an apocalyptic number.

56718903564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56718903564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77879249280).

56718903564 is an abundant number, since it is smaller than the sum of its proper divisors (99039594996).

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

56718903564 is a wasteful number, since it uses less digits than its factorization.

56718903564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56718903564 in words is "fifty-six billion, seven hundred eighteen million, nine hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 3907 7814 7907 11721 15628 15814 23442 23721 31628 35163 46884 47442 66419 70326 71163 94884 105489 132838 134419 140652 142326 199257 210978 213489 265676 268838 284652 398514 403257 421956 426978 537676 597771 797028 806514 853956 1195542 1209771 1613028 1793313 2391084 2419542 3586626 3629313 4839084 7173252 7258626 14517252 30892649 61785298 92677947 123570596 185355894 278033841 370711788 525175033 556067682 834101523 1050350066 1112135364 1575525099 1668203046 2100700132 3151050198 3336406092 4726575297 6302100396 9453150594 14179725891 18906301188 28359451782 56718903564