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56749576392 = 233217269172357
BaseRepresentation
bin110100110110100010…
…011101000011001000
312102110222100011210200
4310312202131003020
51412210342421032
642023112212200
74046210304015
oct646642350310
9172428304720
1056749576392
1122081724763
12abb939a060
135475215502
142a64d0070c
1517221e447c
hexd3689d0c8

56749576392 has 96 divisors (see below), whose sum is σ = 163343676600. Its totient is φ = 17737500672.

The previous prime is 56749576357. The next prime is 56749576399. The reversal of 56749576392 is 29367594765.

56749576392 is a `hidden beast` number, since 56 + 7 + 4 + 9 + 576 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54725116356 + 2024460036 = 233934^2 + 44994^2 .

It is not an unprimeable number, because it can be changed into a prime (56749576399) 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, 243078 + ... + 415434.

Almost surely, 256749576392 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 56749576392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81671838300).

56749576392 is an abundant number, since it is smaller than the sum of its proper divisors (106594100208).

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

56749576392 is a wasteful number, since it uses less digits than its factorization.

56749576392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172655 (or 172648 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 56749576392 in words is "fifty-six billion, seven hundred forty-nine million, five hundred seventy-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 269 306 408 538 612 807 1076 1224 1614 2152 2421 3228 4573 4842 6456 9146 9684 13719 18292 19368 27438 36584 41157 54876 82314 109752 164628 172357 329256 344714 517071 689428 1034142 1378856 1551213 2068284 2930069 3102426 4136568 5860138 6204852 8790207 11720276 12409704 17580414 23440552 26370621 35160828 46364033 52741242 70321656 92728066 105482484 139092099 185456132 210964968 278184198 370912264 417276297 556368396 788188561 834552594 1112736792 1576377122 1669105188 2364565683 3152754244 3338210376 4729131366 6305508488 7093697049 9458262732 14187394098 18916525464 28374788196 56749576392