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114883001568 = 2533132966437
BaseRepresentation
bin110101011111110001…
…1110111110011100000
3101222112101122011021000
41222333203313303200
53340240022022233
6124435421232000
711204623254426
oct1527743676340
9358471564230
10114883001568
11447a35064a5
121a322102600
13aaab042b4a
1457bb90b116
152ec5b3cd13
hex1abf8f7ce0

114883001568 has 48 divisors (see below), whose sum is σ = 335075423760. Its totient is φ = 38294333568.

The previous prime is 114883001549. The next prime is 114883001579. The reversal of 114883001568 is 865100388411.

114883001568 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 83 + 0 + 0 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66482355 + ... + 66484082.

It is an arithmetic number, because the mean of its divisors is an integer number (6980737995).

Almost surely, 2114883001568 is an apocalyptic number.

114883001568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114883001568 is an abundant number, since it is smaller than the sum of its proper divisors (220192422192).

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

114883001568 is a wasteful number, since it uses less digits than its factorization.

114883001568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132966456 (or 132966442 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

Adding to 114883001568 its reverse (865100388411), we get a palindrome (979983389979).

The spelling of 114883001568 in words is "one hundred fourteen billion, eight hundred eighty-three million, one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 132966437 265932874 398899311 531865748 797798622 1063731496 1196697933 1595597244 2127462992 2393395866 3191194488 3590093799 4254925984 4786791732 6382388976 7180187598 9573583464 12764777952 14360375196 19147166928 28720750392 38294333856 57441500784 114883001568