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83157073960 = 23514821140269
BaseRepresentation
bin100110101110010001…
…1000100000000101000
321221122100201001022011
41031130203010000220
52330301202331320
6102111332405304
76002465315602
oct1153443040050
9257570631264
1083157073960
11322a3000514
1214149176834
137ac322400c
14404c18c172
15226a73d05a
hex135c8c4028

83157073960 has 32 divisors (see below), whose sum is σ = 187117374600. Its totient is φ = 33260348160.

The previous prime is 83157073921. The next prime is 83157073973. The reversal of 83157073960 is 6937075138.

It can be written as a sum of positive squares in 4 ways, for example, as 41474951716 + 41682122244 = 203654^2 + 204162^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522706 + ... + 662974.

Almost surely, 283157073960 is an apocalyptic number.

It is an amenable number.

83157073960 is an abundant number, since it is smaller than the sum of its proper divisors (103960300640).

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

83157073960 is a wasteful number, since it uses less digits than its factorization.

83157073960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155101 (or 155097 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 83157073960 in words is "eighty-three billion, one hundred fifty-seven million, seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 14821 29642 59284 74105 118568 140269 148210 280538 296420 561076 592840 701345 1122152 1402690 2805380 5610760 2078926849 4157853698 8315707396 10394634245 16631414792 20789268490 41578536980 83157073960