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34117724825 = 521364708993
BaseRepresentation
bin11111110001100100…
…110010101010011001
310021001201111222220222
4133301210302222121
51024333114143300
623401245125425
72315316606332
oct376144625231
9107051458828
1034117724825
11135186256a8
126741b59875
1332a94c4c72
141919285289
15d4a3a5785
hex7f1932a99

34117724825 has 6 divisors (see below), whose sum is σ = 42305978814. Its totient is φ = 27294179840.

The previous prime is 34117724819. The next prime is 34117724863. The reversal of 34117724825 is 52842771143.

It can be written as a sum of positive squares in 3 ways, for example, as 119159056 + 33998565769 = 10916^2 + 184387^2 .

It is not a de Polignac number, because 34117724825 - 212 = 34117720729 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 682354472 + ... + 682354521.

It is an arithmetic number, because the mean of its divisors is an integer number (7050996469).

Almost surely, 234117724825 is an apocalyptic number.

It is an amenable number.

34117724825 is a deficient number, since it is larger than the sum of its proper divisors (8188253989).

34117724825 is a wasteful number, since it uses less digits than its factorization.

34117724825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364709003 (or 1364708998 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The spelling of 34117724825 in words is "thirty-four billion, one hundred seventeen million, seven hundred twenty-four thousand, eight hundred twenty-five".

Divisors: 1 5 25 1364708993 6823544965 34117724825