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10190630664 = 2332141536537
BaseRepresentation
bin10010111110110100…
…01010111100001000
3222022012110200020100
421133122022330020
5131332300140124
64403112325400
7510350634324
oct113732127410
928265420210
1010190630664
11435a388715
121b849a3860
13c65343c96
146c95c6984
153e99b61c9
hex25f68af08

10190630664 has 24 divisors (see below), whose sum is σ = 27599624910. Its totient is φ = 3396876864.

The previous prime is 10190630629. The next prime is 10190630701. The reversal of 10190630664 is 46603609101.

10190630664 is a `hidden beast` number, since 1 + 0 + 19 + 0 + 630 + 6 + 6 + 4 = 666.

10190630664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7877982564 + 2312648100 = 88758^2 + 48090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70768197 + ... + 70768340.

Almost surely, 210190630664 is an apocalyptic number.

It is an amenable number.

10190630664 is an abundant number, since it is smaller than the sum of its proper divisors (17408994246).

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

10190630664 is a wasteful number, since it uses less digits than its factorization.

10190630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141536549 (or 141536542 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10190630664 in words is "ten billion, one hundred ninety million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 141536537 283073074 424609611 566146148 849219222 1132292296 1273828833 1698438444 2547657666 3396876888 5095315332 10190630664