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164116464 = 24315122643
BaseRepresentation
bin10011100100000…
…11011111110000
3102102210222110120
421302003133300
5314003211324
624141330240
74031652441
oct1162033760
9372728416
10164116464
1184704146
1246b66980
1328002345
1417b212c8
15e61c179
hex9c837f0

164116464 has 40 divisors (see below), whose sum is σ = 426794112. Its totient is φ = 54340800.

The previous prime is 164116451. The next prime is 164116517. The reversal of 164116464 is 464611461.

164116464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4074 + ... + 18569.

Almost surely, 2164116464 is an apocalyptic number.

It is an amenable number.

164116464 is an abundant number, since it is smaller than the sum of its proper divisors (262677648).

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

164116464 is a wasteful number, since it uses less digits than its factorization.

164116464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22805 (or 22799 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 164116464 is about 12810.7948231169. The cubic root of 164116464 is about 547.4999078418.

The spelling of 164116464 in words is "one hundred sixty-four million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 22643 45286 67929 90572 135858 181144 271716 362288 543432 1086864 3419093 6838186 10257279 13676372 20514558 27352744 41029116 54705488 82058232 164116464