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82668533042120 = 2359721306322949
BaseRepresentation
bin10010110010111111000100…
…100010111100101111001000
3101211201000221012120012001112
4102302333010202330233020
541313420123424321440
6451453222204505452
723261414212534064
oct2262770442745710
9354630835505045
1082668533042120
1124382589813403
12933187054b288
1337187bc5a79cc
14165b26d55caa4
159855e91c5965
hex4b2fc48bcbc8

82668533042120 has 32 divisors (see below), whose sum is σ = 187921768419000. Its totient is φ = 32726512048128.

The previous prime is 82668533042119. The next prime is 82668533042159. The reversal of 82668533042120 is 2124033586628.

It can be written as a sum of positive squares in 4 ways, for example, as 47309882855524 + 35358650186596 = 6878218^2 + 5946314^2 .

It is a super-4 number, since 4×826685330421204 (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10653157595 + ... + 10653165354.

Almost surely, 282668533042120 is an apocalyptic number.

It is an amenable number.

82668533042120 is an abundant number, since it is smaller than the sum of its proper divisors (105253235376880).

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

82668533042120 is a wasteful number, since it uses less digits than its factorization.

82668533042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21306323057 (or 21306323053 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 82668533042120 in words is "eighty-two trillion, six hundred sixty-eight billion, five hundred thirty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 21306322949 42612645898 85225291796 106531614745 170450583592 213063229490 426126458980 852252917960 2066713326053 4133426652106 8266853304212 10333566630265 16533706608424 20667133260530 41334266521060 82668533042120