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12500535424 = 271311816361
BaseRepresentation
bin10111010010001011…
…10000100010000000
31012021011221222212111
423221011300202000
5201100114113144
65424225505104
7621526540456
oct135105604200
935234858774
1012500535424
115335254313
12250a4a2194
131242a76530
148682b29d6
154d2692534
hex2e9170880

12500535424 has 64 divisors (see below), whose sum is σ = 26845985880. Its totient is φ = 5763686400.

The previous prime is 12500535407. The next prime is 12500535431. The reversal of 12500535424 is 42453500521.

It can be written as a sum of positive squares in 4 ways, for example, as 9896270400 + 2604265024 = 99480^2 + 51032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 1962004 + ... + 1968364.

Almost surely, 212500535424 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 12500535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422992940).

12500535424 is an abundant number, since it is smaller than the sum of its proper divisors (14345450456).

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

12500535424 is a wasteful number, since it uses less digits than its factorization.

12500535424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 12500535424 in words is "twelve billion, five hundred million, five hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1181 1664 2362 4724 6361 9448 12722 15353 18896 25444 30706 37792 50888 61412 75584 82693 101776 122824 151168 165386 203552 245648 330772 407104 491296 661544 814208 982592 1323088 1965184 2646176 5292352 7512341 10584704 15024682 30049364 60098728 97660433 120197456 195320866 240394912 390641732 480789824 781283464 961579648 1562566928 3125133856 6250267712 12500535424