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38987797663808 = 2673712311910693
BaseRepresentation
bin10001101110101100011011…
…10101001001000001000000
312010001012022122122200101222
420313112031311021001000
520102234002200220213
6214530425203214212
711132526654123350
oct1067261565110100
9163035278580358
1038987797663808
11114716a540a414
12445811a677368
13189a6c2272966
1498b03b624b60
154792670b8808
hex23758dd49040

38987797663808 has 112 divisors (see below), whose sum is σ = 90882267108864. Its totient is φ = 16244244817920.

The previous prime is 38987797663753. The next prime is 38987797663819. The reversal of 38987797663808 is 80836679778983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19449710 + ... + 21360402.

It is an arithmetic number, because the mean of its divisors is an integer number (811448813472).

Almost surely, 238987797663808 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 38987797663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441133554432).

38987797663808 is an abundant number, since it is smaller than the sum of its proper divisors (51894469445056).

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

38987797663808 is a wasteful number, since it uses less digits than its factorization.

38987797663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911980 (or 1911970 counting only the distinct ones).

The product of its (nonzero) digits is 36870930432, while the sum is 89.

The spelling of 38987797663808 in words is "thirty-eight trillion, nine hundred eighty-seven billion, seven hundred ninety-seven million, six hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 1231 2072 2368 2462 4144 4924 8288 8617 9848 16576 17234 19696 34468 39392 45547 68936 78784 91094 137872 182188 275744 318829 364376 551488 637658 728752 1275316 1457504 1910693 2550632 2915008 3821386 5101264 7642772 10202528 13374851 15285544 20405056 26749702 30571088 53499404 61142176 70695641 106998808 122284352 141391282 213997616 282782564 427995232 494869487 565565128 855990464 989738974 1131130256 1979477948 2262260512 2352063083 3958955896 4524521024 4704126166 7917911792 9408252332 15835823584 16464441581 18816504664 31671647168 32928883162 37633009328 65857766324 75266018656 87026334071 131715532648 150532037312 174052668142 263431065296 348105336284 526862130592 609184338497 696210672568 1053724261184 1218368676994 1392421345136 2436737353988 2784842690272 4873474707976 5569685380544 9746949415952 19493898831904 38987797663808