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56057603664 = 2432999140637
BaseRepresentation
bin110100001101010010…
…110010011001010000
312100200202021022200010
4310031102302121100
51404301221304124
641430312554520
74023105524556
oct641522623120
9170622238603
1056057603664
1121857068377
12aa456b2a40
135394a56aaa
1429db055bd6
1516d15aa529
hexd0d4b2650

56057603664 has 80 divisors (see below), whose sum is σ = 149963973120. Its totient is φ = 18022878720.

The previous prime is 56057603659. The next prime is 56057603671. The reversal of 56057603664 is 46630675065.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1359154 + ... + 1399790.

It is an arithmetic number, because the mean of its divisors is an integer number (1874549664).

Almost surely, 256057603664 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 56057603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74981986560).

56057603664 is an abundant number, since it is smaller than the sum of its proper divisors (93906369456).

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

56057603664 is a wasteful number, since it uses less digits than its factorization.

56057603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41668 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 56057603664 in words is "fifty-six billion, fifty-seven million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 991 1392 1982 2973 3964 5946 7928 11892 15856 23784 28739 40637 47568 57478 81274 86217 114956 121911 162548 172434 229912 243822 325096 344868 459824 487644 650192 689736 975288 1178473 1379472 1950576 2356946 3535419 4713892 7070838 9427784 14141676 18855568 28283352 40271267 56566704 80542534 120813801 161085068 241627602 322170136 483255204 644340272 966510408 1167866743 1933020816 2335733486 3503600229 4671466972 7007200458 9342933944 14014400916 18685867888 28028801832 56057603664