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164974509 = 3376731297
BaseRepresentation
bin10011101010101…
…00111110101101
3102111102120111000
421311110332231
5314213141014
624211550513
74042155150
oct1165247655
9374376430
10164974509
118513a877
12472bb439
1328242a6b
1417ca5c97
15e73b509
hex9d54fad

164974509 has 32 divisors (see below), whose sum is σ = 279952640. Its totient is φ = 94058496.

The previous prime is 164974507. The next prime is 164974547. The reversal of 164974509 is 905479461.

It is not a de Polignac number, because 164974509 - 21 = 164974507 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164974507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126549 + ... + 127845.

It is an arithmetic number, because the mean of its divisors is an integer number (8748520).

Almost surely, 2164974509 is an apocalyptic number.

It is an amenable number.

164974509 is a deficient number, since it is larger than the sum of its proper divisors (114978131).

164974509 is a wasteful number, since it uses less digits than its factorization.

164974509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 164974509 is about 12844.2403045100. The cubic root of 164974509 is about 548.4524086969.

The spelling of 164974509 in words is "one hundred sixty-four million, nine hundred seventy-four thousand, five hundred nine".

Divisors: 1 3 7 9 21 27 63 189 673 1297 2019 3891 4711 6057 9079 11673 14133 18171 27237 35019 42399 81711 127197 245133 872881 2618643 6110167 7855929 18330501 23567787 54991503 164974509