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38708041086 = 232112134331793
BaseRepresentation
bin100100000011001011…
…011101010101111110
310200220122000020001100
4210003023131111332
51113233224303321
625440543353530
72540135630511
oct440313352576
9120818006040
1038708041086
1115463753200
1276032b28a6
13385b501630
141c32b80d78
151018384326
hex9032dd57e

38708041086 has 144 divisors (see below), whose sum is σ = 101587934448. Its totient is φ = 10575290880.

The previous prime is 38708041079. The next prime is 38708041123. The reversal of 38708041086 is 68014080783.

38708041086 is a `hidden beast` number, since 3 + 87 + 0 + 80 + 410 + 86 = 666.

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1201606 + ... + 1233398.

It is an arithmetic number, because the mean of its divisors is an integer number (705471767).

Almost surely, 238708041086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38708041086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50793967224).

38708041086 is an abundant number, since it is smaller than the sum of its proper divisors (62879893362).

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

38708041086 is a wasteful number, since it uses less digits than its factorization.

38708041086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31879 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38708041086 in words is "thirty-eight billion, seven hundred eight million, forty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 43 66 78 86 99 117 121 129 143 198 234 242 258 286 363 387 429 473 559 726 774 858 946 1089 1118 1287 1419 1573 1677 2178 2574 2838 3146 3354 4257 4719 5031 5203 6149 8514 9438 10062 10406 12298 14157 15609 18447 28314 31218 31793 36894 46827 55341 63586 67639 93654 95379 110682 135278 190758 202917 286137 349723 405834 413309 572274 608751 699446 826618 1049169 1217502 1239927 1367099 2098338 2479854 2734198 3147507 3719781 3846953 4101297 4546399 6295014 7439562 7693906 8202594 9092798 11540859 12303891 13639197 15038089 17772287 23081718 24607782 27278394 30076178 34622577 35544574 40917591 45114267 50010389 53316861 69245154 81835182 90228534 100020778 106633722 135342801 150031167 159950583 165418979 195495157 270685602 300062334 319901166 330837958 390990314 450093501 496256937 586485471 900187002 992513874 1172970942 1488770811 1759456413 2150446727 2977541622 3518912826 4300893454 6451340181 12902680362 19354020543 38708041086