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149801664 = 2631515167
BaseRepresentation
bin10001110110111…
…00101011000000
3101102212201020210
420323130223000
5301322123124
622510434120
73466202355
oct1073345300
9342781223
10149801664
1177617231
1242202940
132505c84c
1415c7662c
15d240a29
hex8edcac0

149801664 has 56 divisors (see below), whose sum is σ = 399052288. Its totient is φ = 49593600.

The previous prime is 149801657. The next prime is 149801683. The reversal of 149801664 is 466108941.

149801664 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 7 ways as a sum of consecutive naturals, for example, 26409 + ... + 31575.

Almost surely, 2149801664 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 149801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199526144).

149801664 is an abundant number, since it is smaller than the sum of its proper divisors (249250624).

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

149801664 is a wasteful number, since it uses less digits than its factorization.

149801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149801664 is about 12239.3490022958. The cubic root of 149801664 is about 531.0949996896.

The spelling of 149801664 in words is "one hundred forty-nine million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 5167 7248 9664 10334 14496 15501 20668 28992 31002 41336 62004 82672 124008 165344 248016 330688 496032 780217 992064 1560434 2340651 3120868 4681302 6241736 9362604 12483472 18725208 24966944 37450416 49933888 74900832 149801664