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164752668 = 223226317401
BaseRepresentation
bin10011101000111…
…10110100011100
3102111000022011200
421310132310130
5314134041133
624203115500
74040242323
oct1164366434
9374008150
10164752668
1184aa9133
1247212b90
1328195ab2
1417c490ba
15e6e5913
hex9d1ed1c

164752668 has 36 divisors (see below), whose sum is σ = 418065648. Its totient is φ = 54705600.

The previous prime is 164752663. The next prime is 164752691. The reversal of 164752668 is 866257461.

164752668 is a `hidden beast` number, since 1 + 64 + 7 + 526 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1647526682 = 54286883226236448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164752663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 18168.

Almost surely, 2164752668 is an apocalyptic number.

164752668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164752668 is an abundant number, since it is smaller than the sum of its proper divisors (253312980).

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

164752668 is a wasteful number, since it uses less digits than its factorization.

164752668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17674 (or 17669 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 164752668 is about 12835.6015830969. The cubic root of 164752668 is about 548.2064640184.

The spelling of 164752668 in words is "one hundred sixty-four million, seven hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 17401 34802 52203 69604 104406 156609 208812 313218 626436 4576463 9152926 13729389 18305852 27458778 41188167 54917556 82376334 164752668