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166689456 = 2439735801
BaseRepresentation
bin10011110111101…
…11101010110000
3102121122200221120
421323313222300
5320133030311
624312422240
74062560043
oct1173675260
9377580846
10166689456
118610128a
12479a7980
13286c351b
14181d0c5a
15e979706
hex9ef7ab0

166689456 has 40 divisors (see below), whose sum is σ = 435065904. Its totient is φ = 54988800.

The previous prime is 166689421. The next prime is 166689463. The reversal of 166689456 is 654986661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 166689399 and 166689408.

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, 13245 + ... + 22556.

Almost surely, 2166689456 is an apocalyptic number.

166689456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166689456 is an abundant number, since it is smaller than the sum of its proper divisors (268376448).

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

166689456 is a wasteful number, since it uses less digits than its factorization.

166689456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35909 (or 35903 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 166689456 is about 12910.8270842731. The cubic root of 166689456 is about 550.3462899129.

The spelling of 166689456 in words is "one hundred sixty-six million, six hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 35801 71602 107403 143204 214806 286408 429612 572816 859224 1718448 3472697 6945394 10418091 13890788 20836182 27781576 41672364 55563152 83344728 166689456