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166005931 = 7131919551
BaseRepresentation
bin10011110010100…
…00110010101011
3102120100222022211
421321100302223
5314444142211
624250025551
74054012210
oct1171206253
9376328284
10166005931
1185784793
12477182b7
1328514380
1418093b07
15e891e21
hex9e50cab

166005931 has 16 divisors (see below), whose sum is σ = 205406208. Its totient is φ = 130644000.

The previous prime is 166005919. The next prime is 166005937. The reversal of 166005931 is 139500661.

166005931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166005931 - 29 = 166005419 is a prime.

It is a super-2 number, since 2×1660059312 = 55115938254353522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166005893 and 166005902.

It is not an unprimeable number, because it can be changed into a prime (166005937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12606 + ... + 22156.

It is an arithmetic number, because the mean of its divisors is an integer number (12837888).

Almost surely, 2166005931 is an apocalyptic number.

166005931 is a deficient number, since it is larger than the sum of its proper divisors (39400277).

166005931 is a wasteful number, since it uses less digits than its factorization.

166005931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 166005931 is about 12884.3288921077. The cubic root of 166005931 is about 549.5930113077.

The spelling of 166005931 in words is "one hundred sixty-six million, five thousand, nine hundred thirty-one".

Divisors: 1 7 13 91 191 1337 2483 9551 17381 66857 124163 869141 1824241 12769687 23715133 166005931