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56895621648 = 24337162119763
BaseRepresentation
bin110100111111001111…
…100100101000010000
312102212011011001020020
4310333033210220100
51413010234343043
642045410343440
74052632542645
oct647717445020
9172764131206
1056895621648
1122147105718
12b03a28ab80
13549955b318
142a7a479dcc
15172ee41e83
hexd3f3e4a10

56895621648 has 80 divisors (see below), whose sum is σ = 151053564096. Its totient is φ = 18440317440.

The previous prime is 56895621589. The next prime is 56895621749. The reversal of 56895621648 is 84612659865.

56895621648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×568956216482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56895621591 and 56895621600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869015 + ... + 2888777.

Almost surely, 256895621648 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 56895621648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75526782048).

56895621648 is an abundant number, since it is smaller than the sum of its proper divisors (94157942448).

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

56895621648 is a wasteful number, since it uses less digits than its factorization.

56895621648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432 (or 21426 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The spelling of 56895621648 in words is "fifty-six billion, eight hundred ninety-five million, six hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1621 1776 3242 4863 6484 9726 12968 19452 19763 25936 38904 39526 59289 59977 77808 79052 118578 119954 158104 179931 237156 239908 316208 359862 474312 479816 719724 731231 948624 959632 1439448 1462462 2193693 2878896 2924924 4387386 5849848 8774772 11699696 17549544 32035823 35099088 64071646 96107469 128143292 192214938 256286584 384429876 512573168 768859752 1185325451 1537719504 2370650902 3555976353 4741301804 7111952706 9482603608 14223905412 18965207216 28447810824 56895621648