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9136504510056 = 23357112171941419
BaseRepresentation
bin1000010011110100001000…
…0110110001011001101000
31012100102220201010102100000
42010331002012301121220
52144143030123310211
631233130251543000
71632043045650630
oct204750206613150
935312821112300
109136504510056
112a02851675a00
121036870a5aa60
13513751504131
142382cddab6c0
1510c9dc5d2656
hex84f421b1668

9136504510056 has 2304 divisors, whose sum is σ = 36892267776000. Its totient is φ = 2059433164800.

The previous prime is 9136504510027. The next prime is 9136504510127. The reversal of 9136504510056 is 6500154056319.

9136504510056 is a `hidden beast` number, since 9 + 1 + 36 + 50 + 4 + 510 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9136504509993 and 9136504510020.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21805499815 + ... + 21805500233.

It is an arithmetic number, because the mean of its divisors is an integer number (16012269000).

Almost surely, 29136504510056 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 9136504510056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446133888000).

9136504510056 is an abundant number, since it is smaller than the sum of its proper divisors (27755763265944).

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

9136504510056 is a wasteful number, since it uses less digits than its factorization.

9136504510056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 9136504510056 in words is "nine trillion, one hundred thirty-six billion, five hundred four million, five hundred ten thousand, fifty-six".