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12525380608 = 210134153433
BaseRepresentation
bin10111010101001001…
…00010010000000000
31012022220201021001111
423222210202100000
5201122444134413
65430514213104
7622250656426
oct135244422000
935286637044
1012525380608
115348283924
122516884194
131247c65120
1486b6dd116
154d494dd3d
hex2ea922400

12525380608 has 176 divisors, whose sum is σ = 28208413296. Its totient is φ = 5520752640.

The previous prime is 12525380591. The next prime is 12525380617. The reversal of 12525380608 is 80608352521.

It can be written as a sum of positive squares in 8 ways, for example, as 3818251264 + 8707129344 = 61792^2 + 93312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28926760 + ... + 28927192.

Almost surely, 212525380608 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 12525380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104206648).

12525380608 is an abundant number, since it is smaller than the sum of its proper divisors (15683032688).

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

12525380608 is a wasteful number, since it uses less digits than its factorization.

12525380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 12525380608 in words is "twelve billion, five hundred twenty-five million, three hundred eighty thousand, six hundred eight".