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34993594256 = 242975417229
BaseRepresentation
bin100000100101110001…
…111101111110010000
310100022202121202220112
4200211301331332100
51033131330004011
624024214100452
72346113433455
oct404561757620
9110282552815
1034993594256
1113927a76335
12694734a728
1333b8ac00ba
14199d71d82c
15d9c21758b
hex825c7df90

34993594256 has 20 divisors (see below), whose sum is σ = 70138023900. Its totient is φ = 16893459072.

The previous prime is 34993594187. The next prime is 34993594301. The reversal of 34993594256 is 65249539943.

It is a happy number.

34993594256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28996640656 + 5996953600 = 170284^2 + 77440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34993594195 and 34993594204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37708151 + ... + 37709078.

It is an arithmetic number, because the mean of its divisors is an integer number (3506901195).

Almost surely, 234993594256 is an apocalyptic number.

It is an amenable number.

34993594256 is an abundant number, since it is smaller than the sum of its proper divisors (35144429644).

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

34993594256 is a wasteful number, since it uses less digits than its factorization.

34993594256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75417266 (or 75417260 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 59.

The spelling of 34993594256 in words is "thirty-four billion, nine hundred ninety-three million, five hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 75417229 150834458 301668916 603337832 1206675664 2187099641 4374199282 8748398564 17496797128 34993594256