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82145513415 = 35710116347521
BaseRepresentation
bin100110010000001000…
…0010000111111000111
321212000212021110002210
41030200100100333013
52321213222412130
6101423115234503
75635433225520
oct1144020207707
9255025243083
1082145513415
1131924001069
1213b06448a33
137991799b94
143d93ab1847
15220ba265b0
hex1320410fc7

82145513415 has 64 divisors (see below), whose sum is σ = 152630019072. Its totient is φ = 36951552000.

The previous prime is 82145513371. The next prime is 82145513431. The reversal of 82145513415 is 51431554128.

It is not a de Polignac number, because 82145513415 - 212 = 82145509319 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1704855 + ... + 1752375.

It is an arithmetic number, because the mean of its divisors is an integer number (2384844048).

Almost surely, 282145513415 is an apocalyptic number.

82145513415 is a deficient number, since it is larger than the sum of its proper divisors (70484505657).

82145513415 is a wasteful number, since it uses less digits than its factorization.

82145513415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47800.

The product of its digits is 96000, while the sum is 39.

The spelling of 82145513415 in words is "eighty-two billion, one hundred forty-five million, five hundred thirteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 101 105 163 303 489 505 707 815 1141 1515 2121 2445 3423 3535 5705 10605 16463 17115 47521 49389 82315 115241 142563 237605 246945 332647 345723 576205 712815 997941 1663235 1728615 4799621 4989705 7745923 14398863 23237769 23998105 33597347 38729615 54221461 71994315 100792041 116188845 162664383 167986735 271107305 503960205 782338223 813321915 2347014669 3911691115 5476367561 11735073345 16429102683 27381837805 82145513415