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12595920896 = 2151329569
BaseRepresentation
bin10111011101100011…
…01000000000000000
31012111211110002010202
423232301220000000
5201244023432041
65441514144332
7624065363306
oct135661500000
935454402122
1012595920896
115384083889
1225364220a8
131259762840
14876c22276
154dac34a9b
hex2eec68000

12595920896 has 64 divisors (see below), whose sum is σ = 27130179300. Its totient is φ = 5813305344.

The previous prime is 12595920881. The next prime is 12595920901. The reversal of 12595920896 is 69802959521.

It can be written as a sum of positive squares in 2 ways, for example, as 12202295296 + 393625600 = 110464^2 + 19840^2 .

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 3 ways as a sum of consecutive naturals, for example, 411200 + ... + 440768.

Almost surely, 212595920896 is an apocalyptic number.

12595920896 is a gapful number since it is divisible by the number (16) 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 12595920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565089650).

12595920896 is an abundant number, since it is smaller than the sum of its proper divisors (14534258404).

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

12595920896 is an frugal number, since it uses more digits than its factorization.

12595920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29612 (or 29584 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 56.

The spelling of 12595920896 in words is "twelve billion, five hundred ninety-five million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 29569 32768 53248 59138 106496 118276 212992 236552 384397 425984 473104 768794 946208 1537588 1892416 3075176 3784832 6150352 7569664 12300704 15139328 24601408 30278656 49202816 60557312 98405632 121114624 196811264 242229248 393622528 484458496 787245056 968916992 1574490112 3148980224 6297960448 12595920896