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56906035296 = 25311131411361
BaseRepresentation
bin110100111111110111…
…010011000001100000
312102212212202010001220
4310333313103001200
51413020421112141
642050421455040
74053120214305
oct647767230140
9172785663056
1056906035296
1122151a78640
12b041871480
13549b766246
142a7b9cb0ac
151730cec766
hexd3fdd3060

56906035296 has 96 divisors (see below), whose sum is σ = 164202546816. Its totient is φ = 17112576000.

The previous prime is 56906035273. The next prime is 56906035357. The reversal of 56906035296 is 69253060965.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67345 + ... + 344016.

It is an arithmetic number, because the mean of its divisors is an integer number (1710443196).

Almost surely, 256906035296 is an apocalyptic number.

It is an amenable number.

56906035296 is an abundant number, since it is smaller than the sum of its proper divisors (107296511520).

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

56906035296 is a wasteful number, since it uses less digits than its factorization.

56906035296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411516 (or 411508 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 56906035296 in words is "fifty-six billion, nine hundred six million, thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 131 132 176 262 264 352 393 524 528 786 1048 1056 1441 1572 2096 2882 3144 4192 4323 5764 6288 8646 11528 12576 17292 23056 34584 46112 69168 138336 411361 822722 1234083 1645444 2468166 3290888 4524971 4936332 6581776 9049942 9872664 13163552 13574913 18099884 19745328 27149826 36199768 39490656 53888291 54299652 72399536 107776582 108599304 144799072 161664873 215553164 217198608 323329746 431106328 434397216 592771201 646659492 862212656 1185542402 1293318984 1724425312 1778313603 2371084804 2586637968 3556627206 4742169608 5173275936 7113254412 9484339216 14226508824 18968678432 28453017648 56906035296