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38133564008 = 23173122831031
BaseRepresentation
bin100011100000111100…
…000000001001101000
310122102121000202122112
4203200330000021220
51111044143022013
625303542341452
72516661642311
oct434074001150
9118377022575
1038133564008
1115199448061
127482a2a888
1337994a0c77
141bba75d608
15ed2c08ba8
hex8e0f00268

38133564008 has 96 divisors (see below), whose sum is σ = 78579823680. Its totient is φ = 17288179200.

The previous prime is 38133563947. The next prime is 38133564011. The reversal of 38133564008 is 80046533183.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36986453 + ... + 36987483.

It is an arithmetic number, because the mean of its divisors is an integer number (818539830).

Almost surely, 238133564008 is an apocalyptic number.

It is an amenable number.

38133564008 is an abundant number, since it is smaller than the sum of its proper divisors (40446259672).

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

38133564008 is a wasteful number, since it uses less digits than its factorization.

38133564008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 38133564008 in words is "thirty-eight billion, one hundred thirty-three million, five hundred sixty-four thousand, eight".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 283 527 566 961 1031 1054 1132 1922 2062 2108 2264 3844 4124 4216 4811 7688 8248 8773 9622 16337 17527 17546 19244 31961 32674 35054 35092 38488 63922 65348 70108 70184 127844 130696 140216 149141 255688 271963 291773 298282 543337 543926 583546 596564 990791 1086674 1087852 1167092 1193128 1981582 2173348 2175704 2334184 3963164 4346696 4623371 4960141 7926328 9044963 9246742 9920282 16843447 18089926 18493484 19840564 33686894 36179852 36986968 39681128 67373788 72359704 134747576 153764371 280393853 307528742 560787706 615057484 1121575412 1230114968 2243150824 4766695501 9533391002 19066782004 38133564008