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166690464 = 25311631493
BaseRepresentation
bin10011110111101…
…11111010100000
3102121122202022220
421323313322200
5320133043324
624312431040
74062563013
oct1173677240
9377582286
10166690464
1186102016
12479a8480
13286c3b15
14181d137a
15e979b79
hex9ef7ea0

166690464 has 48 divisors (see below), whose sum is σ = 438232032. Its totient is φ = 55478528.

The previous prime is 166690429. The next prime is 166690471. The reversal of 166690464 is 464096661.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110902 + ... + 112394.

It is an arithmetic number, because the mean of its divisors is an integer number (9129834).

Almost surely, 2166690464 is an apocalyptic number.

It is an amenable number.

166690464 is an abundant number, since it is smaller than the sum of its proper divisors (271541568).

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

166690464 is a wasteful number, since it uses less digits than its factorization.

166690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 166690464 is about 12910.8661212174. The cubic root of 166690464 is about 550.3473992570.

The spelling of 166690464 in words is "one hundred sixty-six million, six hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1163 1493 2326 2986 3489 4479 4652 5972 6978 8958 9304 11944 13956 17916 18608 23888 27912 35832 37216 47776 55824 71664 111648 143328 1736359 3472718 5209077 6945436 10418154 13890872 20836308 27781744 41672616 55563488 83345232 166690464