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82717861512 = 2331113167144323
BaseRepresentation
bin100110100001001011…
…1100110011010001000
321220111202020202002110
41031002113212122020
52323401233032022
6102000002502320
75655553136046
oct1150227463210
9256452222073
1082717861512
1132098092720
12140460649a0
137a532334b0
144009adb396
152241dd100c
hex13425e6688

82717861512 has 128 divisors (see below), whose sum is σ = 244404034560. Its totient is φ = 22999153920.

The previous prime is 82717861493. The next prime is 82717861553. The reversal of 82717861512 is 21516871728.

It is a super-2 number, since 2×827178615122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500983 + ... + 645305.

It is an arithmetic number, because the mean of its divisors is an integer number (1909406520).

Almost surely, 282717861512 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 82717861512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122202017280).

82717861512 is an abundant number, since it is smaller than the sum of its proper divisors (161686173048).

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

82717861512 is a wasteful number, since it uses less digits than its factorization.

82717861512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144523 (or 144519 counting only the distinct ones).

The product of its digits is 376320, while the sum is 48.

The spelling of 82717861512 in words is "eighty-two billion, seven hundred seventeen million, eight hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 167 264 286 312 334 429 501 572 668 858 1002 1144 1336 1716 1837 2004 2171 3432 3674 4008 4342 5511 6513 7348 8684 11022 13026 14696 17368 22044 23881 26052 44088 47762 52104 71643 95524 143286 144323 191048 286572 288646 432969 573144 577292 865938 1154584 1587553 1731876 1876199 3175106 3463752 3752398 4762659 5628597 6350212 7504796 9525318 11257194 12700424 15009592 19050636 20638189 22514388 24101941 38101272 41276378 45028776 48203882 61914567 72305823 82552756 96407764 123829134 144611646 165105512 192815528 247658268 265121351 289223292 313325233 495316536 530242702 578446584 626650466 795364053 939975699 1060485404 1253300932 1590728106 1879951398 2120970808 2506601864 3181456212 3446577563 3759902796 6362912424 6893155126 7519805592 10339732689 13786310252 20679465378 27572620504 41358930756 82717861512