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82902154296 = 23313715936311
BaseRepresentation
bin100110100110101011…
…0100111110000111000
321220222121000210021010
41031031112213300320
52324240422414141
6102030144513520
75663251453563
oct1151526476070
9256877023233
1082902154296
1132182117605
121409791b8a0
137a8247b290
1440263914da
152253186416
hex134d5a7c38

82902154296 has 128 divisors (see below), whose sum is σ = 226759357440. Its totient is φ = 25102694400.

The previous prime is 82902154273. The next prime is 82902154297. The reversal of 82902154296 is 69245120928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82902154297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13132981 + ... + 13139291.

It is an arithmetic number, because the mean of its divisors is an integer number (1771557480).

Almost surely, 282902154296 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 82902154296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113379678720).

82902154296 is an abundant number, since it is smaller than the sum of its proper divisors (143857203144).

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

82902154296 is a wasteful number, since it uses less digits than its factorization.

82902154296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 82902154296 in words is "eighty-two billion, nine hundred two million, one hundred fifty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 593 852 923 1186 1704 1779 1846 2372 2769 3558 3692 4744 5538 6311 7116 7384 7709 11076 12622 14232 15418 18933 22152 23127 25244 30836 37866 42103 46254 50488 61672 75732 82043 84206 92508 126309 151464 164086 168412 185016 246129 252618 328172 336824 448081 492258 505236 547339 656344 896162 984516 1010472 1094678 1344243 1642017 1792324 1969032 2189356 2688486 3284034 3584648 3742423 4378712 5376972 5825053 6568068 7484846 10753944 11227269 11650106 13136136 14969692 17475159 22454538 23300212 29939384 34950318 44909076 46600424 48651499 69900636 89818152 97302998 139801272 145954497 194605996 265712033 291908994 389211992 531424066 583817988 797136099 1062848132 1167635976 1594272198 2125696264 3188544396 3454256429 6377088792 6908512858 10362769287 13817025716 20725538574 27634051432 41451077148 82902154296