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164451144 = 233111347917
BaseRepresentation
bin10011100110101…
…01001101001000
3102110102222120010
421303111031020
5314044414034
624152431520
74034545254
oct1163251510
9373388503
10164451144
1184912640
12470a85a0
13280bb790
1417bab264
15e6863e9
hex9cd5348

164451144 has 64 divisors (see below), whose sum is σ = 483013440. Its totient is φ = 45999360.

The previous prime is 164451109. The next prime is 164451169. The reversal of 164451144 is 441154461.

164451144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20527 + ... + 27390.

It is an arithmetic number, because the mean of its divisors is an integer number (7547085).

Almost surely, 2164451144 is an apocalyptic number.

It is an amenable number.

164451144 is an abundant number, since it is smaller than the sum of its proper divisors (318562296).

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

164451144 is a wasteful number, since it uses less digits than its factorization.

164451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47950 (or 47946 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 164451144 is about 12823.8505917684. The cubic root of 164451144 is about 547.8718243212.

The spelling of 164451144 in words is "one hundred sixty-four million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 47917 95834 143751 191668 287502 383336 527087 575004 622921 1054174 1150008 1245842 1581261 1868763 2108348 2491684 3162522 3737526 4216696 4983368 6325044 6852131 7475052 12650088 13704262 14950104 20556393 27408524 41112786 54817048 82225572 164451144