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164470509 = 3272461809
BaseRepresentation
bin10011100110110…
…01111011101101
3102110110222010100
421303121323231
5314101024014
624153101313
74034655600
oct1163317355
9373428110
10164470509
1184926145
12470b7839
13280c7538
1417bb4337
15e68c009
hex9cd9eed

164470509 has 36 divisors (see below), whose sum is σ = 277297020. Its totient is φ = 93663360.

The previous prime is 164470507. The next prime is 164470519. The reversal of 164470509 is 905074461.

164470509 is a `hidden beast` number, since 1 + 644 + 7 + 0 + 5 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102454884 + 62015625 = 10122^2 + 7875^2 .

It is not a de Polignac number, because 164470509 - 21 = 164470507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164470507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202897 + ... + 203705.

It is an arithmetic number, because the mean of its divisors is an integer number (7702695).

Almost surely, 2164470509 is an apocalyptic number.

It is an amenable number.

164470509 is a deficient number, since it is larger than the sum of its proper divisors (112826511).

164470509 is a wasteful number, since it uses less digits than its factorization.

164470509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164470509 is about 12824.6056079710. The cubic root of 164470509 is about 547.8933284210.

The spelling of 164470509 in words is "one hundred sixty-four million, four hundred seventy thousand, five hundred nine".

Divisors: 1 3 7 9 21 49 63 147 441 461 809 1383 2427 3227 4149 5663 7281 9681 16989 22589 29043 39641 50967 67767 118923 203301 356769 372949 1118847 2610643 3356541 7831929 18274501 23495787 54823503 164470509