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82373914320 = 24352437140839
BaseRepresentation
bin100110010110111011…
…1100010111011010000
321212121210001102020120
41030231313202323100
52322200210224240
6101501514510240
75644205501415
oct1145567427320
9255553042216
1082373914320
1131a30a22045
1213b6aa35380
1379c9bb9349
143db616810c
152221ae0ad0
hex132dde2ed0

82373914320 has 80 divisors (see below), whose sum is σ = 255465732480. Its totient is φ = 21957207552.

The previous prime is 82373914313. The next prime is 82373914391. The reversal of 82373914320 is 2341937328.

It is a tau number, because it is divible by the number of its divisors (80).

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, 514461 + ... + 655299.

It is an arithmetic number, because the mean of its divisors is an integer number (3193321656).

Almost surely, 282373914320 is an apocalyptic number.

82373914320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82373914320 is an abundant number, since it is smaller than the sum of its proper divisors (173091818160).

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

82373914320 is a wasteful number, since it uses less digits than its factorization.

82373914320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143292 (or 143286 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 82373914320 in words is "eighty-two billion, three hundred seventy-three million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2437 4874 7311 9748 12185 14622 19496 24370 29244 36555 38992 48740 58488 73110 97480 116976 140839 146220 194960 281678 292440 422517 563356 584880 704195 845034 1126712 1408390 1690068 2112585 2253424 2816780 3380136 4225170 5633560 6760272 8450340 11267120 16900680 33801360 343224643 686449286 1029673929 1372898572 1716123215 2059347858 2745797144 3432246430 4118695716 5148369645 5491594288 6864492860 8237391432 10296739290 13728985720 16474782864 20593478580 27457971440 41186957160 82373914320