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56032592544 = 25321012417993
BaseRepresentation
bin110100001011110011…
…011000001010100000
312100122000012121212100
4310023303120022200
51404223320430134
641424020530400
74022353115055
oct641363301240
9170560177770
1056032592544
1121843a35125
12aa39250a00
13538c80a806
1429d79c502c
1516ce2b9999
hexd0bcd82a0

56032592544 has 144 divisors (see below), whose sum is σ = 161608270824. Its totient is φ = 18413568000.

The previous prime is 56032592543. The next prime is 56032592557. The reversal of 56032592544 is 44529523065.

56032592544 is a `hidden beast` number, since 5 + 6 + 0 + 3 + 2 + 592 + 54 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53610771600 + 2421820944 = 231540^2 + 49212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 56032592544.

It is not an unprimeable number, because it can be changed into a prime (56032592543) 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, 7006212 + ... + 7014204.

Almost surely, 256032592544 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 56032592544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80804135412).

56032592544 is an abundant number, since it is smaller than the sum of its proper divisors (105575678280).

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

56032592544 is a wasteful number, since it uses less digits than its factorization.

56032592544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56032592544 in words is "fifty-six billion, thirty-two million, five hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 241 288 303 404 482 606 723 808 909 964 1212 1446 1616 1818 1928 2169 2424 2892 3232 3636 3856 4338 4848 5784 7272 7712 7993 8676 9696 11568 14544 15986 17352 23136 23979 24341 29088 31972 34704 47958 48682 63944 69408 71937 73023 95916 97364 127888 143874 146046 191832 194728 219069 255776 287748 292092 383664 389456 438138 575496 584184 767328 778912 807293 876276 1150992 1168368 1614586 1752552 1926313 2301984 2336736 2421879 3229172 3505104 3852626 4843758 5778939 6458344 7010208 7265637 7705252 9687516 11557878 12916688 14531274 15410504 17336817 19375032 23115756 25833376 29062548 30821008 34673634 38750064 46231512 58125096 61642016 69347268 77500128 92463024 116250192 138694536 184926048 194557613 232500384 277389072 389115226 554778144 583672839 778230452 1167345678 1556460904 1751018517 2334691356 3112921808 3502037034 4669382712 6225843616 7004074068 9338765424 14008148136 18677530848 28016296272 56032592544