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34756145073 = 3213656345263
BaseRepresentation
bin100000010111101000…
…001010111110110001
310022201012211002212100
4200113220022332301
51032140033120243
623544452451013
72340201234006
oct402750127661
9108635732770
1034756145073
1113815a35241
12689b919a69
13337b853320
141979d8d8ad
15d864620d3
hex817a0afb1

34756145073 has 24 divisors (see below), whose sum is σ = 54074547072. Its totient is φ = 21384665568.

The previous prime is 34756145063. The next prime is 34756145077. The reversal of 34756145073 is 37054165743.

34756145073 is a `hidden beast` number, since 3 + 4 + 75 + 61 + 450 + 73 = 666.

It is not a de Polignac number, because 34756145073 - 25 = 34756145041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34756145077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745240 + ... + 790502.

It is an arithmetic number, because the mean of its divisors is an integer number (2253106128).

Almost surely, 234756145073 is an apocalyptic number.

It is an amenable number.

34756145073 is a deficient number, since it is larger than the sum of its proper divisors (19318401999).

34756145073 is a wasteful number, since it uses less digits than its factorization.

34756145073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51845 (or 51842 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 34756145073 in words is "thirty-four billion, seven hundred fifty-six million, one hundred forty-five thousand, seventy-three".

Divisors: 1 3 9 13 39 117 6563 19689 45263 59067 85319 135789 255957 407367 588419 767871 1765257 5295771 297061069 891183207 2673549621 3861793897 11585381691 34756145073