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12642366260 = 22510333118541
BaseRepresentation
bin10111100011000101…
…10011001100110100
31012122001211202012102
423301202303030310
5201342421210020
65450253441232
7625201224446
oct136142631464
935561752172
1012642366260
1153a8316987
122549aa0218
131266274cc4
1487d072496
154ded5b475
hex2f18b3334

12642366260 has 48 divisors (see below), whose sum is σ = 26889163392. Its totient is φ = 4992451200.

The previous prime is 12642366259. The next prime is 12642366283. The reversal of 12642366260 is 6266324621.

12642366260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 672590 + ... + 691130.

It is an arithmetic number, because the mean of its divisors is an integer number (560190904).

Almost surely, 212642366260 is an apocalyptic number.

12642366260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12642366260 is an abundant number, since it is smaller than the sum of its proper divisors (14246797132).

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

12642366260 is a wasteful number, since it uses less digits than its factorization.

12642366260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18984 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 12642366260 in words is "twelve billion, six hundred forty-two million, three hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 103 206 331 412 515 662 1030 1324 1655 2060 3310 6620 18541 34093 37082 68186 74164 92705 136372 170465 185410 340930 370820 681860 1909723 3819446 6137071 7638892 9548615 12274142 19097230 24548284 30685355 38194460 61370710 122741420 632118313 1264236626 2528473252 3160591565 6321183130 12642366260