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12634010025 = 3527134214397
BaseRepresentation
bin10111100010000101…
…11011000110101001
31012121111010012121020
423301002323012221
5201333301310100
65445354403053
7625040212320
oct136102730651
935544105536
1012634010025
1153a36297aa
122547130489
13126460a6a0
1487bcd90b7
154de25a5a0
hex2f10bb1a9

12634010025 has 96 divisors (see below), whose sum is σ = 25775516928. Its totient is φ = 5317401600.

The previous prime is 12634010023. The next prime is 12634010029. The reversal of 12634010025 is 52001043621.

12634010025 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 12634010025 - 21 = 12634010023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12634009977 and 12634010004.

It is not an unprimeable number, because it can be changed into a prime (12634010021) 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 95 ways as a sum of consecutive naturals, for example, 2871127 + ... + 2875523.

It is an arithmetic number, because the mean of its divisors is an integer number (268494968).

Almost surely, 212634010025 is an apocalyptic number.

12634010025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12634010025 is an abundant number, since it is smaller than the sum of its proper divisors (13141506903).

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

12634010025 is a wasteful number, since it uses less digits than its factorization.

12634010025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12634010025 its reverse (52001043621), we get a palindrome (64635053646).

The spelling of 12634010025 in words is "twelve billion, six hundred thirty-four million, ten thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 421 455 525 975 1263 1365 2105 2275 2947 4397 5473 6315 6825 8841 10525 13191 14735 16419 21985 27365 30779 31575 38311 44205 57161 65955 73675 82095 92337 109925 114933 136825 153895 171483 191555 221025 285805 329775 400127 410475 461685 574665 769475 857415 957775 1200381 1429025 1851137 2000635 2308425 2873325 4287075 5553411 6001905 9255685 10003175 12957959 24064781 27767055 30009525 38873877 46278425 64789795 72194343 120323905 138835275 168453467 194369385 323948975 360971715 505360401 601619525 842267335 971846925 1804858575 2526802005 4211336675 12634010025