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34570107936 = 2534713146563
BaseRepresentation
bin100000001100100010…
…011111110000100000
310022020020202102220000
4200030202133300200
51031244421423221
623514205220000
72332452032460
oct401442376040
9108206672800
1034570107936
111372aa19841
126849561600
13334c147590
14195d3a3ba0
15d74e64e26
hex80c89fc20

34570107936 has 240 divisors, whose sum is σ = 125132825664. Its totient is φ = 9117328896.

The previous prime is 34570107919. The next prime is 34570107983. The reversal of 34570107936 is 63970107543.

34570107936 is a `hidden beast` number, since 3 + 4 + 570 + 1 + 0 + 79 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34570107891 and 34570107900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162591 + ... + 309153.

Almost surely, 234570107936 is an apocalyptic number.

34570107936 is a gapful number since it is divisible by the number (36) 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 34570107936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62566412832).

34570107936 is an abundant number, since it is smaller than the sum of its proper divisors (90562717728).

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

34570107936 is a wasteful number, since it uses less digits than its factorization.

34570107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146605 (or 146588 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 34570107936 in words is "thirty-four billion, five hundred seventy million, one hundred seven thousand, nine hundred thirty-six".