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38792875488 = 2537137915017
BaseRepresentation
bin100100001000001111…
…000100110111100000
310201010112122020222020
4210020033010313200
51113421434003423
625453213541440
72542216000233
oct441017046740
9121115566866
1038792875488
11154a7626584
1276277a4880
133872c652c3
141c4014541a
151020a404e3
hex9083c4de0

38792875488 has 96 divisors (see below), whose sum is σ = 103544904960. Its totient is φ = 12714347520.

The previous prime is 38792875439. The next prime is 38792875489. The reversal of 38792875488 is 88457829783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38792875489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575756 + ... + 2590772.

It is an arithmetic number, because the mean of its divisors is an integer number (1078592760).

Almost surely, 238792875488 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 38792875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51772452480).

38792875488 is an abundant number, since it is smaller than the sum of its proper divisors (64752029472).

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

38792875488 is a wasteful number, since it uses less digits than its factorization.

38792875488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15472 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The spelling of 38792875488 in words is "thirty-eight billion, seven hundred ninety-two million, eight hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 379 426 568 758 852 1136 1137 1516 1704 2272 2274 3032 3408 4548 6064 6816 9096 12128 15017 18192 26909 30034 36384 45051 53818 60068 80727 90102 107636 120136 161454 180204 215272 240272 322908 360408 430544 480544 645816 720816 861088 1066207 1291632 1441632 2132414 2583264 3198621 4264828 5691443 6397242 8529656 11382886 12794484 17059312 17074329 22765772 25588968 34118624 34148658 45531544 51177936 68297316 91063088 102355872 136594632 182126176 273189264 404092453 546378528 808184906 1212277359 1616369812 2424554718 3232739624 4849109436 6465479248 9698218872 12930958496 19396437744 38792875488