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268623385866 = 232111370998963
BaseRepresentation
bin1111101000101100110…
…0111001010100001010
3221200100211021212210100
43322023030321110022
513400120041321431
6323223123230230
725256511051243
oct3721314712412
9850324255710
10268623385866
11a3a16997740
1244089518376
131c43c4b5644
14d003d51cca
156ec2cae4e6
hex3e8b33950a

268623385866 has 48 divisors (see below), whose sum is σ = 634980733920. Its totient is φ = 81394265760.

The previous prime is 268623385853. The next prime is 268623385867. The reversal of 268623385866 is 668583326862.

268623385866 is a `hidden beast` number, since 26 + 8 + 6 + 23 + 3 + 8 + 586 + 6 = 666.

268623385866 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2686233858662 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268623385867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2664901 + ... + 2763863.

It is an arithmetic number, because the mean of its divisors is an integer number (13228765290).

Almost surely, 2268623385866 is an apocalyptic number.

268623385866 is an abundant number, since it is smaller than the sum of its proper divisors (366357348054).

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

268623385866 is a wasteful number, since it uses less digits than its factorization.

268623385866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112691 (or 112688 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 268623385866 in words is "two hundred sixty-eight billion, six hundred twenty-three million, three hundred eighty-five thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13709 27418 41127 82254 98963 123381 150799 197926 246762 296889 301598 452397 593778 890667 904794 1088593 1357191 1781334 2177186 2714382 3265779 6531558 9797337 19594674 1356683767 2713367534 4070051301 8140102602 12210153903 14923521437 24420307806 29847042874 44770564311 89541128622 134311692933 268623385866