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82137186247408 = 24172973142642867
BaseRepresentation
bin10010101011010000001101…
…110011110010001011110000
3101202211020102201211022102021
4102223100031303302023300
541231213424134404113
6450405145155001224
723205134021360365
oct2253201563621360
9352736381738367
1082137186247408
11241982043630a6
1292668a1599214
1336aa6710546c6
14163d6650ac46c
1597689b5d348d
hex4ab40dcf22f0

82137186247408 has 80 divisors (see below), whose sum is σ = 176700279163680. Its totient is φ = 36808706285568.

The previous prime is 82137186247393. The next prime is 82137186247427. The reversal of 82137186247408 is 80474268173128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70745610 + ... + 71897257.

It is an arithmetic number, because the mean of its divisors is an integer number (2208753489546).

Almost surely, 282137186247408 is an apocalyptic number.

It is an amenable number.

82137186247408 is an abundant number, since it is smaller than the sum of its proper divisors (94563092916272).

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

82137186247408 is a wasteful number, since it uses less digits than its factorization.

82137186247408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142642994 (or 142642988 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 82137186247408 in words is "eighty-two trillion, one hundred thirty-seven billion, one hundred eighty-six million, two hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 73 116 136 146 232 272 292 464 493 584 986 1168 1241 1972 2117 2482 3944 4234 4964 7888 8468 9928 16936 19856 33872 35989 71978 143956 287912 575824 142642867 285285734 570571468 1141142936 2282285872 2424928739 4136643143 4849857478 8273286286 9699714956 10412929291 16546572572 19399429912 20825858582 33093145144 38798859824 41651717164 66186290288 70322933431 83303434328 140645866862 166606868656 177019797947 281291733724 301974949439 354039595894 562583467448 603949898878 708079191788 1125166934896 1207899797756 1416158383576 2415799595512 2832316767152 4831599191024 5133574140463 10267148280926 20534296561852 41068593123704 82137186247408