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17138252508 = 2231315724457
BaseRepresentation
bin11111111011000010…
…01111101011011100
31122020101122102200220
433331201033223130
5240044343040013
611512340121340
71144462512516
oct177541175334
948211572626
1017138252508
1172a5107853
1233a3696250
13180183b220
14b881cabb6
156a48d5b23
hex3fd84fadc

17138252508 has 72 divisors (see below), whose sum is σ = 43351125552. Its totient is φ = 5238544896.

The previous prime is 17138252507. The next prime is 17138252513. The reversal of 17138252508 is 80525283171.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 17138252508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17138252501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843016 + ... + 3847472.

It is an arithmetic number, because the mean of its divisors is an integer number (602098966).

Almost surely, 217138252508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17138252508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21675562776).

17138252508 is an abundant number, since it is smaller than the sum of its proper divisors (26212873044).

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

17138252508 is a wasteful number, since it uses less digits than its factorization.

17138252508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 17138252508 in words is "seventeen billion, one hundred thirty-eight million, two hundred fifty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 4457 6123 8164 8914 12246 13371 17828 24492 24649 26742 49298 53484 57941 73947 98596 115882 147894 173823 231764 295788 320437 347646 640874 695292 699749 961311 1281748 1399498 1922622 2099247 2798996 3845244 4198494 8396988 9096737 18193474 27290211 36386948 54580422 109160844 109860593 219721186 329581779 439442372 659163558 1318327116 1428187709 2856375418 4284563127 5712750836 8569126254 17138252508