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38992121856 = 212326715787
BaseRepresentation
bin100100010100000111…
…001001000000000000
310201122102120000121100
4210110013021000000
51114323440344411
625525052254400
72550155365362
oct442407110000
9121572500540
1038992121856
111559a0442a6
127682471400
1338a531756c
141c5c7acd32
15103329b456
hex9141c9000

38992121856 has 156 divisors (see below), whose sum is σ = 114318445072. Its totient is φ = 12802572288.

The previous prime is 38992121843. The next prime is 38992121899. The reversal of 38992121856 is 65812129983.

38992121856 is a `hidden beast` number, since 389 + 92 + 121 + 8 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2461995 + ... + 2477781.

Almost surely, 238992121856 is an apocalyptic number.

38992121856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38992121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57159222536).

38992121856 is an abundant number, since it is smaller than the sum of its proper divisors (75326323216).

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

38992121856 is a wasteful number, since it uses less digits than its factorization.

38992121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15884 (or 15859 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 38992121856 in words is "thirty-eight billion, nine hundred ninety-two million, one hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2048 2144 2304 2412 3072 3216 4096 4288 4608 4824 6144 6432 8576 9216 9648 12288 12864 15787 17152 18432 19296 25728 31574 34304 36864 38592 47361 51456 63148 68608 77184 94722 102912 126296 137216 142083 154368 189444 205824 252592 274432 284166 308736 378888 411648 505184 568332 617472 757776 823296 1010368 1057729 1136664 1234944 1515552 2020736 2115458 2273328 2469888 3031104 3173187 4041472 4230916 4546656 6062208 6346374 8082944 8461832 9093312 9519561 12124416 12692748 16165888 16923664 18186624 19039122 24248832 25385496 32331776 33847328 36373248 38078244 48497664 50770992 64663552 67694656 72746496 76156488 96995328 101541984 135389312 145492992 152312976 193990656 203083968 270778624 290985984 304625952 406167936 541557248 581971968 609251904 812335872 1083114496 1218503808 1624671744 2166228992 2437007616 3249343488 4332457984 4874015232 6498686976 9748030464 12997373952 19496060928 38992121856