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BaseRepresentation
bin11111101011010101…
…110100011010110100
310020210102201100210200
4133223111310122310
51024124330332224
623343031320500
72312606614311
oct375325643264
9106712640720
1034013136564
111347458aa20
126712b20130
133290935c14
14190941bd08
15d410e65c9
hex7eb5746b4

34013136564 has 36 divisors (see below), whose sum is σ = 93793801920. Its totient is φ = 10307010960.

The previous prime is 34013136523. The next prime is 34013136601. The reversal of 34013136564 is 46563131043.

34013136564 is a `hidden beast` number, since 34 + 0 + 1 + 31 + 36 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42945484 + ... + 42946275.

Almost surely, 234013136564 is an apocalyptic number.

It is an amenable number.

34013136564 is an abundant number, since it is smaller than the sum of its proper divisors (59780665356).

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

34013136564 is a wasteful number, since it uses less digits than its factorization.

34013136564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85891780 (or 85891775 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34013136564 in words is "thirty-four billion, thirteen million, one hundred thirty-six thousand, five hundred sixty-four".