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11839991472 = 2432297338839
BaseRepresentation
bin10110000011011011…
…11110111010110000
31010120011000212220200
423001231332322300
5143222014211342
65234512035200
7566256160401
oct130155767260
933504025820
1011839991472
115026403921
122365232b00
131168c7021a
148046899a8
154946b594c
hex2c1b7eeb0

11839991472 has 120 divisors (see below), whose sum is σ = 34748594400. Its totient is φ = 3758275584.

The previous prime is 11839991467. The next prime is 11839991483. The reversal of 11839991472 is 27419993811.

11839991472 is a `hidden beast` number, since 1 + 1 + 83 + 9 + 9 + 91 + 472 = 666.

It is an unprimeable number.

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, 285429 + ... + 324267.

It is an arithmetic number, because the mean of its divisors is an integer number (289571620).

Almost surely, 211839991472 is an apocalyptic number.

11839991472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11839991472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374297200).

11839991472 is an abundant number, since it is smaller than the sum of its proper divisors (22908602928).

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

11839991472 is a wasteful number, since it uses less digits than its factorization.

11839991472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955 (or 38946 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 11839991472 in words is "eleven billion, eight hundred thirty-nine million, nine hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 73 87 116 144 146 174 219 232 261 292 348 438 464 522 584 657 696 876 1044 1168 1314 1392 1752 2088 2117 2628 3504 4176 4234 5256 6351 8468 10512 12702 16936 19053 25404 33872 38106 38839 50808 76212 77678 101616 116517 152424 155356 233034 304848 310712 349551 466068 621424 699102 932136 1126331 1398204 1864272 2252662 2796408 2835247 3378993 4505324 5592816 5670494 6757986 8505741 9010648 10136979 11340988 13515972 17011482 18021296 20273958 22681976 25517223 27031944 34022964 40547916 45363952 51034446 54063888 68045928 81095832 82222163 102068892 136091856 162191664 164444326 204137784 246666489 328888652 408275568 493332978 657777304 739999467 986665956 1315554608 1479998934 1973331912 2959997868 3946663824 5919995736 11839991472