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38681761536 = 2832111526269
BaseRepresentation
bin100100000001100111…
…001101011100000000
310200211210120002021200
4210001213031130000
51113210012332121
625434204221200
72536366355655
oct440147153400
9120753502250
1038681761536
111544a933a70
1275b653a800
133855c2cbc2
141c2d49dc2c
151015de2a26
hex9019cd700

38681761536 has 108 divisors (see below), whose sum is σ = 121668139320. Its totient is φ = 11721738240.

The previous prime is 38681761501. The next prime is 38681761567. The reversal of 38681761536 is 63516718683.

38681761536 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 17 + 615 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737791 + ... + 788478.

Almost surely, 238681761536 is an apocalyptic number.

38681761536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38681761536 is an abundant number, since it is smaller than the sum of its proper divisors (82986377784).

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

38681761536 is a wasteful number, since it uses less digits than its factorization.

38681761536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526302 (or 1526285 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 38681761536 in words is "thirty-eight billion, six hundred eighty-one million, seven hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 1526269 3052538 4578807 6105076 9157614 12210152 13736421 16788959 18315228 24420304 27472842 33577918 36630456 48840608 50366877 54945684 67155836 73260912 97681216 100733754 109891368 134311672 146521824 151100631 195362432 201467508 219782736 268623344 293043648 302201262 390724864 402935016 439565472 537246688 586087296 604402524 805870032 879130944 1074493376 1172174592 1208805048 1611740064 1758261888 2148986752 2417610096 3223480128 3516523776 4297973504 4835220192 6446960256 9670440384 12893920512 19340880768 38681761536