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56704447296 = 26327235383139
BaseRepresentation
bin110100110011110110…
…010011001101000000
312102100211102101022200
4310303312103031000
51412112314303141
642014421033200
74045121564220
oct646366231500
9172324371280
1056704447296
1122059200592
12aba6255800
135468a741c3
142a5cd14080
15171d27cab6
hexd33d93340

56704447296 has 672 divisors, whose sum is σ = 201302599680. Its totient is φ = 14913220608.

The previous prime is 56704447253. The next prime is 56704447321. The reversal of 56704447296 is 69274440765.

56704447296 is a `hidden beast` number, since 567 + 0 + 4 + 4 + 4 + 72 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407945595 + ... + 407945733.

It is an arithmetic number, because the mean of its divisors is an integer number (299557440).

Almost surely, 256704447296 is an apocalyptic number.

56704447296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56704447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651299840).

56704447296 is an abundant number, since it is smaller than the sum of its proper divisors (144598152384).

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

56704447296 is a wasteful number, since it uses less digits than its factorization.

56704447296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 56704447296 in words is "fifty-six billion, seven hundred four million, four hundred forty-seven thousand, two hundred ninety-six".