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11850431040 = 2632573715887
BaseRepresentation
bin10110000100101011…
…10011101001000000
31010120212200021022100
423002111303221000
5143232202243130
65235523510400
7566444000430
oct130225635100
933525607270
1011850431040
115031294268
122368828400
13116b186b96
14805c062c0
15495578c60
hex2c2573a40

11850431040 has 336 divisors, whose sum is σ = 47845504512. Its totient is φ = 2635296768.

The previous prime is 11850430957. The next prime is 11850431041. The reversal of 11850431040 is 4013405811.

It is a happy number.

11850431040 is a `hidden beast` number, since 118 + 504 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 11850430995 and 11850431013.

It is not an unprimeable number, because it can be changed into a prime (11850431041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737977 + ... + 753863.

Almost surely, 211850431040 is an apocalyptic number.

11850431040 is a gapful number since it is divisible by the number (10) 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 11850431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922752256).

11850431040 is an abundant number, since it is smaller than the sum of its proper divisors (35995073472).

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

11850431040 is a wasteful number, since it uses less digits than its factorization.

11850431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11850431040 its reverse (4013405811), we get a palindrome (15863836851).

The spelling of 11850431040 in words is "eleven billion, eight hundred fifty million, four hundred thirty-one thousand, forty".