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164121364 = 221110136931
BaseRepresentation
bin10011100100001…
…00101100010100
3102102211020012001
421302010230110
5314003340424
624141405044
74032002641
oct1162045424
9372736161
10164121364
11847078a0
1246b69784
1328004644
1417b22dc8
15e61d844
hex9c84b14

164121364 has 24 divisors (see below), whose sum is σ = 316433376. Its totient is φ = 73860000.

The previous prime is 164121343. The next prime is 164121367. The reversal of 164121364 is 463121461.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164121367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14022 + ... + 22909.

It is an arithmetic number, because the mean of its divisors is an integer number (13184724).

Almost surely, 2164121364 is an apocalyptic number.

It is an amenable number.

164121364 is a deficient number, since it is larger than the sum of its proper divisors (152312012).

164121364 is a wasteful number, since it uses less digits than its factorization.

164121364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37047 (or 37045 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 164121364 is about 12810.9860666539. The cubic root of 164121364 is about 547.5053566610.

It can be divided in two parts, 1641 and 21364, that added together give a triangular number (23005 = T214).

The spelling of 164121364 in words is "one hundred sixty-four million, one hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 36931 73862 147724 406241 812482 1624964 3730031 7460062 14920124 41030341 82060682 164121364