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166372992 = 27321391039
BaseRepresentation
bin10011110101010…
…10011010000000
3102121001121211200
421322222122000
5320042413432
624301541200
74060101312
oct1172523200
9377047750
10166372992
1185a05545
1247874800
1328612476
141814b7b2
15e915a7c
hex9eaa680

166372992 has 96 divisors (see below), whose sum is σ = 482664000. Its totient is φ = 55005696.

The previous prime is 166372981. The next prime is 166373017. The reversal of 166372992 is 299273661.

It is a happy number.

166372992 is a `hidden beast` number, since 1 + 6 + 637 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159609 + ... + 160647.

It is an arithmetic number, because the mean of its divisors is an integer number (5027750).

Almost surely, 2166372992 is an apocalyptic number.

166372992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241332000).

166372992 is an abundant number, since it is smaller than the sum of its proper divisors (316291008).

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

166372992 is a wasteful number, since it uses less digits than its factorization.

166372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 166372992 is about 12898.5655016362. The cubic root of 166372992 is about 549.9977873189.

The spelling of 166372992 in words is "one hundred sixty-six million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1039 1112 1152 1251 1668 2078 2224 2502 3117 3336 4156 4448 5004 6234 6672 8312 8896 9351 10008 12468 13344 16624 17792 18702 20016 24936 26688 33248 37404 40032 49872 53376 66496 74808 80064 99744 132992 144421 149616 160128 199488 288842 299232 398976 433263 577684 598464 866526 1155368 1196928 1299789 1733052 2310736 2599578 3466104 4621472 5199156 6932208 9242944 10398312 13864416 18485888 20796624 27728832 41593248 55457664 83186496 166372992