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164414679 = 31121334841
BaseRepresentation
bin10011100110011…
…00010011010111
3102110101010112120
421303030103113
5314042232204
624151551023
74034334042
oct1163142327
9373333476
10164414679
1184898200
124708b473
13280a7cc0
1417b9bc59
15e67a6d9
hex9ccc4d7

164414679 has 24 divisors (see below), whose sum is σ = 259503216. Its totient is φ = 91977600.

The previous prime is 164414647. The next prime is 164414687. The reversal of 164414679 is 976414461.

It is not a de Polignac number, because 164414679 - 25 = 164414647 is a prime.

It is a super-3 number, since 3×1644146793 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164414679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164414699) 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, 12702 + ... + 22139.

It is an arithmetic number, because the mean of its divisors is an integer number (10812634).

Almost surely, 2164414679 is an apocalyptic number.

164414679 is a deficient number, since it is larger than the sum of its proper divisors (95088537).

164414679 is a wasteful number, since it uses less digits than its factorization.

164414679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34879 (or 34868 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 164414679 is about 12822.4287480960. The cubic root of 164414679 is about 547.8313267355.

The spelling of 164414679 in words is "one hundred sixty-four million, four hundred fourteen thousand, six hundred seventy-nine".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 34841 104523 383251 452933 1149753 1358799 4215761 4982263 12647283 14946789 54804893 164414679