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164964627 = 3319331657
BaseRepresentation
bin10011101010100…
…10100100010011
3102111102001221000
421311102210103
5314212332002
624211433043
74042114302
oct1165224423
9374361830
10164964627
1185133403
12472b5783
132823b409
1417ca2439
15e73861c
hex9d52913

164964627 has 16 divisors (see below), whose sum is σ = 245666080. Its totient is φ = 109403136.

The previous prime is 164964619. The next prime is 164964629. The reversal of 164964627 is 726469461.

164964627 is a `hidden beast` number, since 16 + 4 + 9 + 6 + 4 + 627 = 666.

It is not a de Polignac number, because 164964627 - 23 = 164964619 is a prime.

It is a super-2 number, since 2×1649646272 = 54426656322498258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164964629) 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 15 ways as a sum of consecutive naturals, for example, 10618 + ... + 21039.

It is an arithmetic number, because the mean of its divisors is an integer number (15354130).

Almost surely, 2164964627 is an apocalyptic number.

164964627 is a deficient number, since it is larger than the sum of its proper divisors (80701453).

164964627 is a wasteful number, since it uses less digits than its factorization.

164964627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31859 (or 31853 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 164964627 is about 12843.8556127045. The cubic root of 164964627 is about 548.4414576820.

The spelling of 164964627 in words is "one hundred sixty-four million, nine hundred sixty-four thousand, six hundred twenty-seven".

Divisors: 1 3 9 27 193 579 1737 5211 31657 94971 284913 854739 6109801 18329403 54988209 164964627