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164046967 = 74721032
BaseRepresentation
bin10011100011100…
…10100001110111
3102102200110010121
421301302201313
5313444000332
624140032411
74031243020
oct1161624167
9372613117
10164046967
1184666a07
1246b32707
1327ca9816
1417b03c47
15e606797
hex9c72877

164046967 has 18 divisors (see below), whose sum is σ = 193433928. Its totient is φ = 136283832.

The previous prime is 164046929. The next prime is 164046973. The reversal of 164046967 is 769640461.

It is not a de Polignac number, because 164046967 - 211 = 164044919 is a prime.

It is a super-2 number, since 2×1640469672 = 53822814763798178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164046917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1592638 + ... + 1592740.

Almost surely, 2164046967 is an apocalyptic number.

164046967 is a deficient number, since it is larger than the sum of its proper divisors (29386961).

164046967 is an frugal number, since it uses more digits than its factorization.

164046967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 164046967 is about 12808.0820968637. The cubic root of 164046967 is about 547.4226152243.

The spelling of 164046967 in words is "one hundred sixty-four million, forty-six thousand, nine hundred sixty-seven".

Divisors: 1 7 47 103 329 721 2209 4841 10609 15463 33887 74263 227527 498623 1592689 3490361 23435281 164046967