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11083018752 = 29341361337
BaseRepresentation
bin10100101001001100…
…10111001000000000
31001121101122200120000
422110212113020000
5140144223100002
65031431320000
7541435051011
oct122446271000
931541580500
1011083018752
114778091033
122193820000
1310781a3a80
14771d21008
1544cedc61c
hex294997200

11083018752 has 400 divisors, whose sum is σ = 36315951672. Its totient is φ = 3344302080.

The previous prime is 11083018747. The next prime is 11083018753. The reversal of 11083018752 is 25781038011.

It can be written as a sum of positive squares in 4 ways, for example, as 3137792256 + 7945226496 = 56016^2 + 89136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11083018753) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32887128 + ... + 32887464.

Almost surely, 211083018752 is an apocalyptic number.

11083018752 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 11083018752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157975836).

11083018752 is an abundant number, since it is smaller than the sum of its proper divisors (25232932920).

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

11083018752 is an equidigital number, since it uses as much as digits as its factorization.

11083018752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11083018752 in words is "eleven billion, eighty-three million, eighteen thousand, seven hundred fifty-two".