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164806912 = 2819311093
BaseRepresentation
bin10011101001011…
…00000100000000
3102111010001120201
421310230010000
5314142310122
624204214544
74040556424
oct1164540400
9374101521
10164806912
1185035966
124723a454
13281b46aa
1417c60b84
15e706a27
hex9d2c100

164806912 has 72 divisors (see below), whose sum is σ = 357781760. Its totient is φ = 75479040.

The previous prime is 164806909. The next prime is 164806919. The reversal of 164806912 is 219608461.

It is a happy number.

It is a super-2 number, since 2×1648069122 = 54322636485951488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164806919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150238 + ... + 151330.

Almost surely, 2164806912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178890880).

164806912 is an abundant number, since it is smaller than the sum of its proper divisors (192974848).

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

164806912 is a wasteful number, since it uses less digits than its factorization.

164806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 164806912 is about 12837.7144383259. The cubic root of 164806912 is about 548.2666221711.

The spelling of 164806912 in words is "one hundred sixty-four million, eight hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1093 1178 1216 1984 2186 2356 2432 3968 4372 4712 4864 7936 8744 9424 17488 18848 20767 33883 34976 37696 41534 67766 69952 75392 83068 135532 139904 150784 166136 271064 279808 332272 542128 643777 664544 1084256 1287554 1329088 2168512 2575108 2658176 4337024 5150216 5316352 8674048 10300432 20600864 41201728 82403456 164806912