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82117316358 = 232711173485159
BaseRepresentation
bin100110001111010010…
…0101100111100000110
321211221220012220000100
41030132210230330012
52321134013110413
6101420231024530
75634641446410
oct1143644547406
9254856186010
1082117316358
113190a0a2210
1213ab8b0b146
1379889a672c
143d900519b0
152209306a73
hex131e92cf06

82117316358 has 96 divisors (see below), whose sum is σ = 234871902720. Its totient is φ = 20074510080.

The previous prime is 82117316357. The next prime is 82117316387. The reversal of 82117316358 is 85361371128.

It is a happy number.

82117316358 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 7 + 3 + 1 + 635 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82117316353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719018 + ... + 1766141.

It is an arithmetic number, because the mean of its divisors is an integer number (2446582320).

Almost surely, 282117316358 is an apocalyptic number.

82117316358 is an abundant number, since it is smaller than the sum of its proper divisors (152754586362).

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

82117316358 is a wasteful number, since it uses less digits than its factorization.

82117316358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485202 (or 3485199 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 82117316358 in words is "eighty-two billion, one hundred seventeen million, three hundred sixteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 7854 11781 23562 3485159 6970318 10455477 20910954 24396113 31366431 38336749 48792226 59247703 62732862 73188339 76673498 115010247 118495406 146376678 177743109 219565017 230020494 268357243 345030741 355486218 414733921 439130034 533229327 536714486 651724733 690061482 805071729 829467842 1066458654 1244201763 1303449466 1610143458 1955174199 2415215187 2488403526 3732605289 3910348398 4562073131 4830430374 5865522597 7465210578 9124146262 11731045194 13686219393 27372438786 41058658179 82117316358