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164162745 = 32513732657
BaseRepresentation
bin10011100100011…
…10110010111001
3102102220022221200
421302032302321
5314011201440
624142324413
74032234405
oct1162166271
9372808850
10164162745
118473599a
1246b89709
132801a426
1417b34105
15e62ac30
hex9c8ecb9

164162745 has 24 divisors (see below), whose sum is σ = 284863176. Its totient is φ = 87456768.

The previous prime is 164162743. The next prime is 164162767. The reversal of 164162745 is 547261461.

164162745 is a `hidden beast` number, since 1 + 641 + 6 + 2 + 7 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74235456 + 89927289 = 8616^2 + 9483^2 .

It is not a de Polignac number, because 164162745 - 21 = 164162743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164162741) 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, 60457 + ... + 63113.

It is an arithmetic number, because the mean of its divisors is an integer number (11869299).

Almost surely, 2164162745 is an apocalyptic number.

164162745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164162745 is a deficient number, since it is larger than the sum of its proper divisors (120700431).

164162745 is a wasteful number, since it uses less digits than its factorization.

164162745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4038 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164162745 is about 12812.6010239920. The cubic root of 164162745 is about 547.5513681709.

The spelling of 164162745 in words is "one hundred sixty-four million, one hundred sixty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 1373 2657 4119 6865 7971 12357 13285 20595 23913 39855 61785 119565 3648061 10944183 18240305 32832549 54720915 164162745