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56365998768 = 243443492283
BaseRepresentation
bin110100011111101011…
…001110001010110000
312101111020120102020000
4310133223032022300
51410414143430033
641521050550000
74033542040632
oct643753161260
9171436512200
1056365998768
11219a5156162
12ab10a38300
135413903ac1
142a29db2a52
1516ed6c6a13
hexd1face2b0

56365998768 has 50 divisors (see below), whose sum is σ = 163139557284. Its totient is φ = 18788665824.

The previous prime is 56365998739. The next prime is 56365998769. The reversal of 56365998768 is 86789956365.

56365998768 is a `hidden beast` number, since 563 + 6 + 59 + 9 + 8 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×563659987682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56365998696 and 56365998705.

It is not an unprimeable number, because it can be changed into a prime (56365998769) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 21744846 + ... + 21747437.

Almost surely, 256365998768 is an apocalyptic number.

It is an amenable number.

56365998768 is an abundant number, since it is smaller than the sum of its proper divisors (106773558516).

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

56365998768 is a wasteful number, since it uses less digits than its factorization.

56365998768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43492303 (or 43492288 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 56365998768 in words is "fifty-six billion, three hundred sixty-five million, nine hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 43492283 86984566 130476849 173969132 260953698 347938264 391430547 521907396 695876528 782861094 1043814792 1174291641 1565722188 2087629584 2348583282 3131444376 3522874923 4697166564 6262888752 7045749846 9394333128 14091499692 18788666256 28182999384 56365998768