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116664129 = 32293114419
BaseRepresentation
bin1101111010000…
…10011101000001
322010112011002200
412331002131001
5214331223004
615324303413
72614425441
oct675023501
9263464080
10116664129
115a94353a
12330a1b69
131b22973a
14116cc121
15a397239
hex6f42741

116664129 has 24 divisors (see below), whose sum is σ = 179961600. Its totient is φ = 72666720.

The previous prime is 116664113. The next prime is 116664139. The reversal of 116664129 is 921466611.

116664129 = T2822 + T2823 + ... + T2850.

It is not a de Polignac number, because 116664129 - 24 = 116664113 is a prime.

It is a super-2 number, since 2×1166641292 = 27221037990657282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116664093 and 116664102.

It is not an unprimeable number, because it can be changed into a prime (116664139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 882 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (7498400).

Almost surely, 2116664129 is an apocalyptic number.

It is an amenable number.

116664129 is a deficient number, since it is larger than the sum of its proper divisors (63297471).

116664129 is a wasteful number, since it uses less digits than its factorization.

116664129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14485 (or 14482 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 116664129 is about 10801.1170255673. The cubic root of 116664129 is about 488.6288601161.

The spelling of 116664129 in words is "one hundred sixteen million, six hundred sixty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 29 31 87 93 261 279 899 2697 8091 14419 43257 129771 418151 446989 1254453 1340967 3763359 4022901 12962681 38888043 116664129