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56321054460 = 22345112793637
BaseRepresentation
bin110100011100111111…
…110001011011111100
312101101010000000020000
4310130333301123330
51410321142220320
641512403354300
74032455030646
oct643477613374
9171333000200
1056321054460
1121981848900
12aab9982990
1354074c8938
142a24033896
1516e9799c90
hexd1cff16fc

56321054460 has 360 divisors, whose sum is σ = 196715682240. Its totient is φ = 13477052160.

The previous prime is 56321054459. The next prime is 56321054501. The reversal of 56321054460 is 6445012365.

56321054460 is a `hidden beast` number, since 5 + 632 + 10 + 5 + 4 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×563210544602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15483762 + ... + 15487398.

Almost surely, 256321054460 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 56321054460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98357841120).

56321054460 is an abundant number, since it is smaller than the sum of its proper divisors (140394627780).

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

56321054460 is a wasteful number, since it uses less digits than its factorization.

56321054460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56321054460 in words is "fifty-six billion, three hundred twenty-one million, fifty-four thousand, four hundred sixty".