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12510340624 = 2429181148961
BaseRepresentation
bin10111010011010110…
…01010011000010000
31012021212102011002001
423221223022120100
5201110121344444
65425220003344
7622006066165
oct135153123020
935255364061
1012510340624
11533a841091
122511830554
131244aca522
1486970606c
154d347c8d4
hex2e9aca610

12510340624 has 40 divisors (see below), whose sum is σ = 25213308120. Its totient is φ = 6006067200.

The previous prime is 12510340571. The next prime is 12510340637. The reversal of 12510340624 is 42604301521.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 12508185600 = 1468^2 + 111840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12510340592 and 12510340601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9504 + ... + 158464.

It is an arithmetic number, because the mean of its divisors is an integer number (630332703).

Almost surely, 212510340624 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 12510340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606654060).

12510340624 is an abundant number, since it is smaller than the sum of its proper divisors (12702967496).

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

12510340624 is a wasteful number, since it uses less digits than its factorization.

12510340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149179 (or 149173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12510340624 in words is "twelve billion, five hundred ten million, three hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 181 232 362 464 724 1448 2896 5249 10498 20996 41992 83984 148961 297922 595844 1191688 2383376 4319869 8639738 17279476 26961941 34558952 53923882 69117904 107847764 215695528 431391056 781896289 1563792578 3127585156 6255170312 12510340624