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38123764128 = 253344124727
BaseRepresentation
bin100011100000010110…
…100111100110100000
310122101220120212202000
4203200112213212200
51111034140423003
625302552324000
72516512435242
oct434026474640
9118356525660
1038123764128
111519396428a
12747b6a3600
13379744c518
141bb932c092
15ed1e201a3
hex8e05a79a0

38123764128 has 48 divisors (see below), whose sum is σ = 111194314560. Its totient is φ = 12707921088.

The previous prime is 38123764093. The next prime is 38123764139. The reversal of 38123764128 is 82146732183.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22061500 + ... + 22063227.

It is an arithmetic number, because the mean of its divisors is an integer number (2316548220).

Almost surely, 238123764128 is an apocalyptic number.

It is an amenable number.

38123764128 is an abundant number, since it is smaller than the sum of its proper divisors (73070550432).

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

38123764128 is a wasteful number, since it uses less digits than its factorization.

38123764128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124746 (or 44124732 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 38123764128 in words is "thirty-eight billion, one hundred twenty-three million, seven hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 44124727 88249454 132374181 176498908 264748362 352997816 397122543 529496724 705995632 794245086 1058993448 1191367629 1411991264 1588490172 2117986896 2382735258 3176980344 4235973792 4765470516 6353960688 9530941032 12707921376 19061882064 38123764128