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10024400204 = 2272139740559
BaseRepresentation
bin10010101011000000…
…00011010101001100
3221212121200021220122
421111200003111030
5131012221301304
64334413404112
7503261665400
oct112540032514
927777607818
1010024400204
114284570275
121b39199638
13c39a81670
146b14b5100
153da0cc9be
hex25580354c

10024400204 has 72 divisors (see below), whose sum is σ = 22203679680. Its totient is φ = 3924716544.

The previous prime is 10024400203. The next prime is 10024400233. The reversal of 10024400204 is 40200442001.

It is not an unprimeable number, because it can be changed into a prime (10024400203) 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 23 ways as a sum of consecutive naturals, for example, 226877 + ... + 267435.

It is an arithmetic number, because the mean of its divisors is an integer number (308384440).

Almost surely, 210024400204 is an apocalyptic number.

10024400204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101839840).

10024400204 is an abundant number, since it is smaller than the sum of its proper divisors (12179279476).

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

10024400204 is a wasteful number, since it uses less digits than its factorization.

10024400204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40687 (or 40678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10024400204 its reverse (40200442001), we get a palindrome (50224842205).

The spelling of 10024400204 in words is "ten billion, twenty-four million, four hundred thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 97 98 182 194 196 364 388 637 679 1261 1274 1358 2522 2548 2716 4753 5044 8827 9506 17654 19012 35308 40559 61789 81118 123578 162236 247156 283913 527267 567826 1054534 1135652 1987391 2109068 3690869 3934223 3974782 7381738 7868446 7949564 14763476 15736892 25836083 27539561 51144899 51672166 55079122 102289798 103344332 110158244 192776927 204579596 358014293 385553854 716028586 771107708 1432057172 2506100051 5012200102 10024400204