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10239318264 = 2337460313241
BaseRepresentation
bin10011000100100111…
…11001100011111000
3222102121002021001210
421202103321203320
5131432231141024
64412012043120
7511511524560
oct114223714370
928377067053
1010239318264
1143849123aa
121b991634a0
13c7245cc06
146d1c5bda0
153eddd2129
hex2624f98f8

10239318264 has 64 divisors (see below), whose sum is σ = 29263760640. Its totient is φ = 2924663040.

The previous prime is 10239318233. The next prime is 10239318269. The reversal of 10239318264 is 46281393201.

10239318264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102393182642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239318269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 766684 + ... + 779924.

It is an arithmetic number, because the mean of its divisors is an integer number (457246260).

Almost surely, 210239318264 is an apocalyptic number.

10239318264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10239318264 is an abundant number, since it is smaller than the sum of its proper divisors (19024442376).

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

10239318264 is a wasteful number, since it uses less digits than its factorization.

10239318264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860 (or 17856 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10239318264 in words is "ten billion, two hundred thirty-nine million, three hundred eighteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4603 9206 13241 13809 18412 26482 27618 32221 36824 39723 52964 55236 64442 79446 92687 96663 105928 110472 128884 158892 185374 193326 257768 278061 317784 370748 386652 556122 741496 773304 1112244 2224488 60948323 121896646 182844969 243793292 365689938 426638261 487586584 731379876 853276522 1279914783 1462759752 1706553044 2559829566 3413106088 5119659132 10239318264