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82122914120 = 23513157928681
BaseRepresentation
bin100110001111011101…
…0000011100101001000
321211222021202021200212
41030132322003211020
52321141431222440
6101420551020252
75635040152412
oct1143672034510
9254867667625
1082122914120
1131912275965
1213aba96a688
137989bb6610
143d90aab9b2
152209a60465
hex131ee83948

82122914120 has 32 divisors (see below), whose sum is σ = 198990139320. Its totient is φ = 30322306560.

The previous prime is 82122914057. The next prime is 82122914123. The reversal of 82122914120 is 2141922128.

It can be written as a sum of positive squares in 4 ways, for example, as 58474010596 + 23648903524 = 241814^2 + 153782^2 .

It is not an unprimeable number, because it can be changed into a prime (82122914123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78963821 + ... + 78964860.

Almost surely, 282122914120 is an apocalyptic number.

It is an amenable number.

82122914120 is an abundant number, since it is smaller than the sum of its proper divisors (116867225200).

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

82122914120 is a wasteful number, since it uses less digits than its factorization.

82122914120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157928705 (or 157928701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 82122914120 in words is "eighty-two billion, one hundred twenty-two million, nine hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 157928681 315857362 631714724 789643405 1263429448 1579286810 2053072853 3158573620 4106145706 6317147240 8212291412 10265364265 16424582824 20530728530 41061457060 82122914120