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10288242884 = 22232928113723
BaseRepresentation
bin10011001010011101…
…00010000011000100
3222120000010220000202
421211032202003010
5132032242233014
64420520430032
7512644423133
oct114516420304
928500126022
1010288242884
1143aa499177
121bb1618318
13c7c62c9aa
146d855591a
154033483de
hex2653a20c4

10288242884 has 48 divisors (see below), whose sum is σ = 19505646720. Its totient is φ = 4733541120.

The previous prime is 10288242883. The next prime is 10288242947. The reversal of 10288242884 is 48824288201.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10288242883) 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 15 ways as a sum of consecutive naturals, for example, 742847 + ... + 756569.

It is an arithmetic number, because the mean of its divisors is an integer number (406367640).

Almost surely, 210288242884 is an apocalyptic number.

It is an amenable number.

10288242884 is a deficient number, since it is larger than the sum of its proper divisors (9217403836).

10288242884 is a wasteful number, since it uses less digits than its factorization.

10288242884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14060 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 47.

The spelling of 10288242884 in words is "ten billion, two hundred eighty-eight million, two hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 23 29 46 58 92 116 281 562 667 1124 1334 2668 6463 8149 12926 13723 16298 25852 27446 32596 54892 187427 315629 374854 397967 631258 749708 795934 1262516 1591868 3856163 7712326 9153241 15424652 18306482 36612964 88691749 111828727 177383498 223657454 354766996 447314908 2572060721 5144121442 10288242884