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12523510132 = 2275312766449
BaseRepresentation
bin10111010100111010…
…11001100101110100
31012022210012020020121
423222131121211310
5201122004311012
65430410141324
7622226036230
oct135235314564
935283166217
1012523510132
115347216581
122516121844
13124775b933
1486b3735c0
154d46cea07
hex2ea759974

12523510132 has 48 divisors (see below), whose sum is σ = 25720934400. Its totient is φ = 5224407552.

The previous prime is 12523510127. The next prime is 12523510159. The reversal of 12523510132 is 23101532521.

It is a junction number, because it is equal to n+sod(n) for n = 12523510097 and 12523510106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155244 + ... + 221692.

It is an arithmetic number, because the mean of its divisors is an integer number (535852800).

Almost surely, 212523510132 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 12523510132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860467200).

12523510132 is an abundant number, since it is smaller than the sum of its proper divisors (13197424268).

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

12523510132 is a wasteful number, since it uses less digits than its factorization.

12523510132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66640 (or 66638 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 12523510132 in words is "twelve billion, five hundred twenty-three million, five hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 106 127 212 254 371 508 742 889 1484 1778 3556 6731 13462 26924 47117 66449 94234 132898 188468 265796 465143 930286 1860572 3521797 7043594 8439023 14087188 16878046 24652579 33756092 49305158 59073161 98610316 118146322 236292644 447268219 894536438 1789072876 3130877533 6261755066 12523510132