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56561357448 = 233261101312713
BaseRepresentation
bin110100101011010100…
…011101001010001000
312101222212011122221200
4310223110131022020
51411314201414243
641552310104200
74041433414521
oct645324351210
9171885148850
1056561357448
1121a95459012
12ab6634b060
13544522465b
142a47d07848
151710915ad3
hexd2b51d288

56561357448 has 96 divisors (see below), whose sum is σ = 155864231640. Its totient is φ = 18524943360.

The previous prime is 56561357443. The next prime is 56561357449. The reversal of 56561357448 is 84475316565.

It is a happy number.

56561357448 is a `hidden beast` number, since 5 + 6 + 5 + 61 + 3 + 574 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28129327524 + 28432029924 = 167718^2 + 168618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56561357394 and 56561357403.

It is not an unprimeable number, because it can be changed into a prime (56561357443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4442740 + ... + 4455452.

Almost surely, 256561357448 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 56561357448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77932115820).

56561357448 is an abundant number, since it is smaller than the sum of its proper divisors (99302874192).

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

56561357448 is a wasteful number, since it uses less digits than its factorization.

56561357448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13792 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 56561357448 in words is "fifty-six billion, five hundred sixty-one million, three hundred fifty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1013 1098 1464 2026 2196 3039 4052 4392 6078 8104 9117 12156 12713 18234 24312 25426 36468 38139 50852 61793 72936 76278 101704 114417 123586 152556 185379 228834 247172 305112 370758 457668 494344 556137 741516 775493 915336 1112274 1483032 1550986 2224548 2326479 3101972 4449096 4652958 6203944 6979437 9305916 12878269 13958874 18611832 25756538 27917748 38634807 51513076 55835496 77269614 103026152 115904421 154539228 231808842 309078456 463617684 785574409 927235368 1571148818 2356723227 3142297636 4713446454 6284595272 7070169681 9426892908 14140339362 18853785816 28280678724 56561357448