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12535290624 = 28396716879
BaseRepresentation
bin10111010110010100…
…10101101100000000
31012100121100202001010
423223022111230000
5201133013244444
65431510440520
7622431132543
oct135312255400
935317322033
1012535290624
11535293241a
12251a063140
13124a024a3c
1486cb5c85a
154d575a2b9
hex2eb295b00

12535290624 has 72 divisors (see below), whose sum is σ = 33398632960. Its totient is φ = 4173861888.

The previous prime is 12535290613. The next prime is 12535290661. The reversal of 12535290624 is 42609253521.

It is a super-2 number, since 2×125352906242 (a number of 21 digits) contains 22 as substring.

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, 734217 + ... + 751095.

Almost surely, 212535290624 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 12535290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699316480).

12535290624 is an abundant number, since it is smaller than the sum of its proper divisors (20863342336).

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

12535290624 is an equidigital number, since it uses as much as digits as its factorization.

12535290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17865 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 12535290624 in words is "twelve billion, five hundred thirty-five million, two hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 967 1934 2901 3868 5802 7736 11604 15472 16879 23208 30944 33758 46416 50637 61888 67516 92832 101274 123776 135032 185664 202548 247552 270064 371328 405096 540128 742656 810192 1080256 1620384 2160512 3240768 4321024 6481536 12963072 16321993 32643986 48965979 65287972 97931958 130575944 195863916 261151888 391727832 522303776 783455664 1044607552 1566911328 2089215104 3133822656 4178430208 6267645312 12535290624