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164909475 = 32521494919
BaseRepresentation
bin10011101010001…
…01000110100011
3102111022021021100
421311011012203
5314204100400
624210325443
74041464433
oct1165050643
9374267240
10164909475
11850a5a25
1247289883
132821c293
1417c8a2c3
15e727100
hex9d451a3

164909475 has 36 divisors (see below), whose sum is σ = 297414000. Its totient is φ = 87343680.

The previous prime is 164909473. The next prime is 164909557. The reversal of 164909475 is 574909461.

164909475 is a `hidden beast` number, since 1 + 6 + 490 + 94 + 75 = 666.

It is not a de Polignac number, because 164909475 - 21 = 164909473 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 Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 164909475.

It is not an unprimeable number, because it can be changed into a prime (164909473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31066 + ... + 35984.

It is an arithmetic number, because the mean of its divisors is an integer number (8261500).

Almost surely, 2164909475 is an apocalyptic number.

164909475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164909475 is a deficient number, since it is larger than the sum of its proper divisors (132504525).

164909475 is a wasteful number, since it uses less digits than its factorization.

164909475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5076 counting only the distinct ones).

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

The square root of 164909475 is about 12841.7084143816. The cubic root of 164909475 is about 548.3803314165.

The spelling of 164909475 in words is "one hundred sixty-four million, nine hundred nine thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 149 225 447 745 1341 2235 3725 4919 6705 11175 14757 24595 33525 44271 73785 122975 221355 368925 732931 1106775 2198793 3664655 6596379 10993965 18323275 32981895 54969825 164909475