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56724104448 = 28321137241251
BaseRepresentation
bin110100110101000001…
…010010010100000000
312102102012102001212100
4310311001102110000
51412132332320243
642020402230400
74045450634544
oct646501222400
9172365361770
1056724104448
1122069307270
12abb0955400
13546cb6755b
142a6178da24
15171ed620d3
hexd35052500

56724104448 has 432 divisors, whose sum is σ = 184733220672. Its totient is φ = 16588800000.

The previous prime is 56724104443. The next prime is 56724104473. The reversal of 56724104448 is 84440142765.

56724104448 is a `hidden beast` number, since 567 + 2 + 4 + 1 + 0 + 44 + 48 = 666.

It is a super-2 number, since 2×567241044482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56724104443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225992323 + ... + 225992573.

It is an arithmetic number, because the mean of its divisors is an integer number (427623196).

Almost surely, 256724104448 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 56724104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92366610336).

56724104448 is an abundant number, since it is smaller than the sum of its proper divisors (128009116224).

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

56724104448 is a wasteful number, since it uses less digits than its factorization.

56724104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 56724104448 in words is "fifty-six billion, seven hundred twenty-four million, one hundred four thousand, four hundred forty-eight".