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56631390128304 = 24322715713308369
BaseRepresentation
bin11001110000001100001011…
…11001000100100010110000
321102111220111221121121102220
430320012011321010202300
524410322041333101204
6320240033530041040
714633324432445345
oct1470060571044260
9242456457547386
1056631390128304
1117054268394032
126427661b79180
13257a417aa8794
14ddad8c5887cc
156831a46341d9
hex338185e448b0

56631390128304 has 80 divisors (see below), whose sum is σ = 147035819998080. Its totient is φ = 18782002140160.

The previous prime is 56631390128251. The next prime is 56631390128311. The reversal of 56631390128304 is 40382109313665.

It is a happy number.

56631390128304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×566313901283043 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 15463432 + ... + 18771800.

It is an arithmetic number, because the mean of its divisors is an integer number (1837947749976).

Almost surely, 256631390128304 is an apocalyptic number.

It is an amenable number.

56631390128304 is an abundant number, since it is smaller than the sum of its proper divisors (90404429869776).

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

56631390128304 is a wasteful number, since it uses less digits than its factorization.

56631390128304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310178 (or 3310172 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 56631390128304 in words is "fifty-six trillion, six hundred thirty-one billion, three hundred ninety million, one hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1571 1816 2724 3142 3632 4713 5448 6284 9426 10896 12568 18852 25136 37704 75408 356617 713234 1069851 1426468 2139702 2852936 3308369 4279404 5705872 6616738 8558808 9925107 13233476 17117616 19850214 26466952 39700428 52933904 79400856 158801712 750999763 1501999526 2252999289 3003999052 4505998578 5197447699 6007998104 9011997156 10394895398 12015996208 15592343097 18023994312 20789790796 31184686194 36047988624 41579581592 62369372388 83159163184 124738744776 249477489552 1179820627673 2359641255346 3539461883019 4719282510692 7078923766038 9438565021384 14157847532076 18877130042768 28315695064152 56631390128304