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164726064 = 24323136901
BaseRepresentation
bin10011101000110…
…00010100110000
3102110221221200100
421310120110300
5314132213224
624202352400
74040101626
oct1164302460
9373857610
10164726064
1184a90148
12471bb700
1328186959
1417c3d516
15e6dcac9
hex9d18530

164726064 has 60 divisors (see below), whose sum is σ = 475888192. Its totient is φ = 53136000.

The previous prime is 164726063. The next prime is 164726071. The reversal of 164726064 is 460627461.

164726064 is a `hidden beast` number, since 1 + 6 + 47 + 2 + 606 + 4 = 666.

164726064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164726063) 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 11 ways as a sum of consecutive naturals, for example, 13987 + ... + 22914.

Almost surely, 2164726064 is an apocalyptic number.

It is an amenable number.

164726064 is an abundant number, since it is smaller than the sum of its proper divisors (311162128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164726064 is a wasteful number, since it uses less digits than its factorization.

164726064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36946 (or 36937 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164726064 is about 12834.5652049456. The cubic root of 164726064 is about 548.1769545927.

The spelling of 164726064 in words is "one hundred sixty-four million, seven hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 36901 73802 110703 147604 221406 295208 332109 442812 590416 664218 885624 1143931 1328436 1771248 2287862 2656872 3431793 4575724 5313744 6863586 9151448 10295379 13727172 18302896 20590758 27454344 41181516 54908688 82363032 164726064