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56444121360 = 243251119137313
BaseRepresentation
bin110100100100010101…
…001111000100010000
312101200200120110021100
4310210111033010100
51411044143340420
641532521224400
74035511054404
oct644425170420
9171620513240
1056444121360
1121a35264890
12ab33032100
135426b577a3
142a3650b104
1517054a9190
hexd2454f110

56444121360 has 240 divisors, whose sum is σ = 207878980608. Its totient is φ = 13611417600.

The previous prime is 56444121347. The next prime is 56444121397. The reversal of 56444121360 is 6312144465.

56444121360 is a `hidden beast` number, since 5 + 644 + 4 + 1 + 2 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×564441213602 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1494064 + ... + 1531376.

Almost surely, 256444121360 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 56444121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103939490304).

56444121360 is an abundant number, since it is smaller than the sum of its proper divisors (151434859248).

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

56444121360 is a wasteful number, since it uses less digits than its factorization.

56444121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37534 (or 37525 counting only the distinct ones).

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

The spelling of 56444121360 in words is "fifty-six billion, four hundred forty-four million, one hundred twenty-one thousand, three hundred sixty".