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166268007 = 32178313093
BaseRepresentation
bin10011110100100…
…00110001100111
3102120212021211100
421322100301213
5320031034012
624255411143
74056153243
oct1172206147
9376767740
10166268007
1185943684
1247823ab3
13285a6749
1418121423
15e8e48dc
hex9e90c67

166268007 has 24 divisors (see below), whose sum is σ = 257375664. Its totient is φ = 103060224.

The previous prime is 166267979. The next prime is 166268009. The reversal of 166268007 is 700862661.

It is a happy number.

166268007 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 166268007 - 210 = 166266983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166268009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6153 + ... + 19245.

It is an arithmetic number, because the mean of its divisors is an integer number (10723986).

Almost surely, 2166268007 is an apocalyptic number.

166268007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

166268007 is a deficient number, since it is larger than the sum of its proper divisors (91107657).

166268007 is a wasteful number, since it uses less digits than its factorization.

166268007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13199 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 166268007 is about 12894.4952208297. The cubic root of 166268007 is about 549.8820760955.

The spelling of 166268007 in words is "one hundred sixty-six million, two hundred sixty-eight thousand, seven".

Divisors: 1 3 9 17 51 83 153 249 747 1411 4233 12699 13093 39279 117837 222581 667743 1086719 2003229 3260157 9780471 18474223 55422669 166268007