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56005365312 = 2632137479349
BaseRepresentation
bin110100001010001011…
…100000111001000000
312100120002222100010100
4310022023200321000
51404144333142222
641421205202400
74021602515301
oct641213407100
9170502870110
1056005365312
112182a628986
12aa30100400
135386c96920
1429d41387a8
1516cbbdc4ac
hexd0a2e0e40

56005365312 has 84 divisors (see below), whose sum is σ = 172877695900. Its totient is φ = 17232417792.

The previous prime is 56005365287. The next prime is 56005365329. The reversal of 56005365312 is 21356350065.

56005365312 is a `hidden beast` number, since 5 + 60 + 0 + 536 + 53 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28030795776 + 27974569536 = 167424^2 + 167256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3732187 + ... + 3747162.

Almost surely, 256005365312 is an apocalyptic number.

56005365312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56005365312 is an abundant number, since it is smaller than the sum of its proper divisors (116872330588).

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

56005365312 is a wasteful number, since it uses less digits than its factorization.

56005365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479380 (or 7479367 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 56005365312 in words is "fifty-six billion, five million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 7479349 14958698 22438047 29917396 44876094 59834792 67314141 89752188 97231537 119669584 134628282 179504376 194463074 239339168 269256564 291694611 359008752 388926148 478678336 538513128 583389222 718017504 777852296 875083833 1077026256 1166778444 1436035008 1555704592 1750167666 2154052512 2333556888 3111409184 3500335332 4308105024 4667113776 6222818368 7000670664 9334227552 14001341328 18668455104 28002682656 56005365312