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56281322304 = 2632257380197
BaseRepresentation
bin110100011010101000…
…001101001101000000
312101021100020101221200
4310122220031031000
51410231004303204
641504424021200
74031463226524
oct643250151500
9171240211850
1056281322304
1121961380509
12aaa8601800
1353cc1c6c9c
142a1ca4dd84
1516e604c539
hexd1aa0d340

56281322304 has 84 divisors (see below), whose sum is σ = 161948379684. Its totient is φ = 18687393792.

The previous prime is 56281322297. The next prime is 56281322309. The reversal of 56281322304 is 40322318265.

56281322304 is a `hidden beast` number, since 5 + 6 + 28 + 1 + 322 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32703105600 + 23578216704 = 180840^2 + 153552^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56281322309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42067 + ... + 338130.

It is an arithmetic number, because the mean of its divisors is an integer number (1927956901).

Almost surely, 256281322304 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 56281322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80974189842).

56281322304 is an abundant number, since it is smaller than the sum of its proper divisors (105667057380).

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

56281322304 is a wasteful number, since it uses less digits than its factorization.

56281322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380472 (or 380459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56281322304 in words is "fifty-six billion, two hundred eighty-one million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 257 288 514 576 771 1028 1542 2056 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 37008 49344 74016 148032 380197 760394 1140591 1520788 2281182 3041576 3421773 4562364 6083152 6843546 9124728 12166304 13687092 18249456 24332608 27374184 36498912 54748368 72997824 97710629 109496736 195421258 218993472 293131887 390842516 586263774 781685032 879395661 1172527548 1563370064 1758791322 2345055096 3126740128 3517582644 4690110192 6253480256 7035165288 9380220384 14070330576 18760440768 28140661152 56281322304