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12825017235 = 3252312391321
BaseRepresentation
bin10111111000110111…
…00011101110010011
31020002210112101020100
423330123203232103
5202231201022420
65520340343443
7632546563542
oct137433435623
936083471210
1012825017235
11549142a2a8
12259b0a4b83
1312950666c4
1489941a159
15500dda190
hex2fc6e3b93

12825017235 has 24 divisors (see below), whose sum is σ = 23196554784. Its totient is φ = 6542616960.

The previous prime is 12825017203. The next prime is 12825017251. The reversal of 12825017235 is 53271052821.

12825017235 is a `hidden beast` number, since 1 + 2 + 82 + 501 + 72 + 3 + 5 = 666.

It is not a de Polignac number, because 12825017235 - 25 = 12825017203 is a prime.

It is a super-3 number, since 3×128250172353 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12825017235.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6194626 + ... + 6196695.

It is an arithmetic number, because the mean of its divisors is an integer number (966523116).

Almost surely, 212825017235 is an apocalyptic number.

12825017235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12825017235 is a deficient number, since it is larger than the sum of its proper divisors (10371537549).

12825017235 is a wasteful number, since it uses less digits than its factorization.

12825017235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391355 (or 12391352 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12825017235 in words is "twelve billion, eight hundred twenty-five million, seventeen thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 12391321 37173963 61956605 111521889 185869815 285000383 557609445 855001149 1425001915 2565003447 4275005745 12825017235