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164663712 = 2533190583
BaseRepresentation
bin10011101000010…
…01000110100000
3102110211210011000
421310021012200
5314123214322
624201152000
74036422063
oct1164110640
9373753130
10164663712
1184a48314
124718b600
1328164465
1417c248da
15e6c93ac
hex9d091a0

164663712 has 48 divisors (see below), whose sum is σ = 480271680. Its totient is φ = 54887616.

The previous prime is 164663677. The next prime is 164663743. The reversal of 164663712 is 217366461.

It is a happy number.

164663712 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 637 + 12 = 666.

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

It is a super-2 number, since 2×1646637122 = 54228276099237888, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94428 + ... + 96155.

It is an arithmetic number, because the mean of its divisors is an integer number (10005660).

Almost surely, 2164663712 is an apocalyptic number.

164663712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164663712 is an abundant number, since it is smaller than the sum of its proper divisors (315607968).

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

164663712 is a wasteful number, since it uses less digits than its factorization.

164663712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190602 (or 190588 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 164663712 is about 12832.1359095047. The cubic root of 164663712 is about 548.1077806722.

The spelling of 164663712 in words is "one hundred sixty-four million, six hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 190583 381166 571749 762332 1143498 1524664 1715247 2286996 3049328 3430494 4573992 5145741 6098656 6860988 9147984 10291482 13721976 18295968 20582964 27443952 41165928 54887904 82331856 164663712