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67145457096 = 2332932575793
BaseRepresentation
bin111110100010001011…
…100101110111001000
320102022111000122011100
4332202023211313020
52100003214111341
650502440101400
74564632653064
oct764213456710
9212274018140
1067145457096
1126526950803
121101aa64860
136440c31303
14336d874aa4
151b2ec003b6
hexfa22e5dc8

67145457096 has 24 divisors (see below), whose sum is σ = 181852279830. Its totient is φ = 22381819008.

The previous prime is 67145457089. The next prime is 67145457103. The reversal of 67145457096 is 69075454176.

67145457096 is a `hidden beast` number, since 6 + 7 + 1 + 4 + 545 + 7 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (67145457089) and next prime (67145457103).

It can be written as a sum of positive squares in only one way, i.e., 42960852900 + 24184604196 = 207270^2 + 155514^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 466287825 + ... + 466287968.

Almost surely, 267145457096 is an apocalyptic number.

It is an amenable number.

67145457096 is an abundant number, since it is smaller than the sum of its proper divisors (114706822734).

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

67145457096 is a wasteful number, since it uses less digits than its factorization.

67145457096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932575805 (or 932575798 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 67145457096 in words is "sixty-seven billion, one hundred forty-five million, four hundred fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 932575793 1865151586 2797727379 3730303172 5595454758 7460606344 8393182137 11190909516 16786364274 22381819032 33572728548 67145457096