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99063168 = 2731072411
BaseRepresentation
bin1011110011110…
…01010110000000
320220101221010020
411321321112000
5200330010133
613455133440
72312010621
oct571712600
9226357106
1099063168
1150a11696
1229214280
13176a6279
14d229a48
158a6c0b3
hex5e79580

99063168 has 64 divisors (see below), whose sum is σ = 265705920. Its totient is φ = 32698880.

The previous prime is 99063163. The next prime is 99063179. The reversal of 99063168 is 86136099.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×990631682 = 19627022508392448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99063163) by changing a digit.

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, 39883 + ... + 42293.

It is an arithmetic number, because the mean of its divisors is an integer number (4151655).

Almost surely, 299063168 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 99063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132852960).

99063168 is an abundant number, since it is smaller than the sum of its proper divisors (166642752).

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

99063168 is a wasteful number, since it uses less digits than its factorization.

99063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 99063168 is about 9953.0481763126. The cubic root of 99063168 is about 462.7048703275.

The spelling of 99063168 in words is "ninety-nine million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2411 2568 3424 4822 5136 6848 7233 9644 10272 13696 14466 19288 20544 28932 38576 41088 57864 77152 115728 154304 231456 257977 308608 462912 515954 773931 925824 1031908 1547862 2063816 3095724 4127632 6191448 8255264 12382896 16510528 24765792 33021056 49531584 99063168