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12825232609 = 7271107131263
BaseRepresentation
bin10111111000111000…
…11000010011100001
31020002210221022200011
423330130120103201
5202231224420414
65520345124521
7632551451500
oct137434302341
936083838604
1012825232609
1154915670a2
12259b189741
131295110747
14899474837
15500e2ddc4
hex2fc7184e1

12825232609 has 48 divisors (see below), whose sum is σ = 15445748736. Its totient is φ = 10614458400.

The previous prime is 12825232603. The next prime is 12825232627. The reversal of 12825232609 is 90623252821.

12825232609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12825232609 - 217 = 12825101537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12825232603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48765012 + ... + 48765274.

It is an arithmetic number, because the mean of its divisors is an integer number (321786432).

Almost surely, 212825232609 is an apocalyptic number.

It is an amenable number.

12825232609 is a deficient number, since it is larger than the sum of its proper divisors (2620516127).

12825232609 is a wasteful number, since it uses less digits than its factorization.

12825232609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 12825232609 in words is "twelve billion, eight hundred twenty-five million, two hundred thirty-two thousand, six hundred nine".

Divisors: 1 7 49 71 107 131 263 497 749 917 1841 3479 5243 6419 7597 9301 12887 14017 18673 28141 34453 53179 65107 98119 130711 196987 241171 372253 455749 686833 914977 995207 1378909 1688197 1998011 2446163 3686471 6966449 13986077 17123141 25805297 48765143 97902539 119861987 180637079 261739441 1832176087 12825232609