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164712627 = 3261300023
BaseRepresentation
bin10011101000101…
…01000010110011
3102110221021020200
421310111002303
5314131301002
624202210243
74040014512
oct1164250263
9373837220
10164712627
1184a81042
12471b3983
13281807c1
1417c38679
15e6d8b1c
hex9d150b3

164712627 has 12 divisors (see below), whose sum is σ = 241819344. Its totient is φ = 108007920.

The previous prime is 164712623. The next prime is 164712631. The reversal of 164712627 is 726217461.

164712627 is a `hidden beast` number, since 1 + 647 + 1 + 2 + 6 + 2 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (164712623) and next prime (164712631).

It is not a de Polignac number, because 164712627 - 22 = 164712623 is a prime.

It is a super-2 number, since 2×1647126272 = 54260498986482258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164712591 and 164712600.

It is not an unprimeable number, because it can be changed into a prime (164712623) 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 11 ways as a sum of consecutive naturals, for example, 149463 + ... + 150560.

It is an arithmetic number, because the mean of its divisors is an integer number (20151612).

Almost surely, 2164712627 is an apocalyptic number.

164712627 is a deficient number, since it is larger than the sum of its proper divisors (77106717).

164712627 is a wasteful number, since it uses less digits than its factorization.

164712627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300090 (or 300087 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 164712627 is about 12834.0417250374. The cubic root of 164712627 is about 548.1620489288.

The spelling of 164712627 in words is "one hundred sixty-four million, seven hundred twelve thousand, six hundred twenty-seven".

Divisors: 1 3 9 61 183 549 300023 900069 2700207 18301403 54904209 164712627