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11139183776 = 257333114929
BaseRepresentation
bin10100101111111001…
…00111010010100000
31001202022100011111002
422113330213102200
5140303112340101
65041155211132
7543016333310
oct122774472240
931668304432
1011139183776
1147a6862706
1221aa5a6aa8
131086a0a306
14779581440
15452dd3d6b
hex297f274a0

11139183776 has 48 divisors (see below), whose sum is σ = 25072367040. Its totient is φ = 4772183040.

The previous prime is 11139183773. The next prime is 11139183791. The reversal of 11139183776 is 67738193111.

It is a happy number.

11139183776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11139183776.

It is not an unprimeable number, because it can be changed into a prime (11139183773) 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 7 ways as a sum of consecutive naturals, for example, 738680 + ... + 753608.

It is an arithmetic number, because the mean of its divisors is an integer number (522340980).

Almost surely, 211139183776 is an apocalyptic number.

11139183776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11139183776 is an abundant number, since it is smaller than the sum of its proper divisors (13933183264).

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

11139183776 is a wasteful number, since it uses less digits than its factorization.

11139183776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18277 (or 18269 counting only the distinct ones).

The product of its digits is 190512, while the sum is 47.

The spelling of 11139183776 in words is "eleven billion, one hundred thirty-nine million, one hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3331 6662 13324 14929 23317 26648 29858 46634 53296 59716 93268 104503 106592 119432 186536 209006 238864 373072 418012 477728 746144 836024 1672048 3344096 49728499 99456998 198913996 348099493 397827992 696198986 795655984 1392397972 1591311968 2784795944 5569591888 11139183776