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11833975048 = 2371917596323
BaseRepresentation
bin10110000010101110…
…00010000100001000
31010112201201012221011
423001113002010020
5143213444200143
65234135053304
7566154061660
oct130127020410
933481635834
1011833975048
115022a74675
122363211234
1311679448cc
148039611a0
15493dc7e9d
hex2c15c2108

11833975048 has 64 divisors (see below), whose sum is σ = 26712576000. Its totient is φ = 4801280832.

The previous prime is 11833975039. The next prime is 11833975117. The reversal of 11833975048 is 84057933811.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11833974992 and 11833975010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868415 + ... + 1874737.

It is an arithmetic number, because the mean of its divisors is an integer number (417384000).

Almost surely, 211833975048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11833975048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288000).

11833975048 is an abundant number, since it is smaller than the sum of its proper divisors (14878600952).

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

11833975048 is a wasteful number, since it uses less digits than its factorization.

11833975048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 11833975048 in words is "eleven billion, eight hundred thirty-three million, nine hundred seventy-five thousand, forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1759 3518 6323 7036 12313 12646 14072 24626 25292 33421 44261 49252 50584 66842 88522 98504 120137 133684 177044 233947 240274 267368 354088 467894 480548 840959 935788 961096 1681918 1871576 3363836 6727672 11122157 22244314 44488628 77855099 88977256 155710198 211320983 311420396 422641966 622840792 845283932 1479246881 1690567864 2958493762 5916987524 11833975048