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56577220448 = 257287741143
BaseRepresentation
bin110100101100010000…
…111101111101100000
312102000222000120220012
4310230100331331200
51411332232023243
641554034104052
74042015303400
oct645420757540
9172028016805
1056577220448
1121aa3403131
12ab6b71b028
1354485b9a48
142a4a076800
151711eead18
hexd2c43df60

56577220448 has 72 divisors (see below), whose sum is σ = 129722835312. Its totient is φ = 24219143424.

The previous prime is 56577220423. The next prime is 56577220517. The reversal of 56577220448 is 84402277565.

56577220448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56577220396 and 56577220405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354565 + ... + 1395707.

It is an arithmetic number, because the mean of its divisors is an integer number (1801706046).

Almost surely, 256577220448 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 56577220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861417656).

56577220448 is an abundant number, since it is smaller than the sum of its proper divisors (73145614864).

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

56577220448 is a wasteful number, since it uses less digits than its factorization.

56577220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42044 (or 42029 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

The spelling of 56577220448 in words is "fifty-six billion, five hundred seventy-seven million, two hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 877 1568 1754 3508 6139 7016 12278 14032 24556 28064 41143 42973 49112 82286 85946 98224 164572 171892 196448 288001 329144 343784 576002 658288 687568 1152004 1316576 1375136 2016007 2304008 4032014 4608016 8064028 9216032 16128056 32256112 36082411 64512224 72164822 144329644 252576877 288659288 505153754 577318576 1010307508 1154637152 1768038139 2020615016 3536076278 4041230032 7072152556 8082460064 14144305112 28288610224 56577220448