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20557063296 = 2732721133107
BaseRepresentation
bin10011001001010010…
…111110010010000000
31222001122202000102200
4103021102332102000
5314100102011141
613235505113200
71325265104100
oct231122762200
958048660380
1020557063296
118799a20a10
123b98628800
131c27c1c0a3
14dd0293200
15804b06ab6
hex4c94be480

20557063296 has 288 divisors, whose sum is σ = 75071065680. Its totient is φ = 5339335680.

The previous prime is 20557063283. The next prime is 20557063361. The reversal of 20557063296 is 69236075502.

20557063296 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 7 + 0 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 604375 + ... + 637481.

Almost surely, 220557063296 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 20557063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37535532840).

20557063296 is an abundant number, since it is smaller than the sum of its proper divisors (54514002384).

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

20557063296 is a wasteful number, since it uses less digits than its factorization.

20557063296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33152 (or 33130 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 20557063296 in words is "twenty billion, five hundred fifty-seven million, sixty-three thousand, two hundred ninety-six".