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11999790000 = 24325411172331
BaseRepresentation
bin10110010110011111…
…00100001110110000
31010222021201111021200
423023033210032300
5144033421240000
65302421051200
7603236350332
oct131317441660
933867644250
1011999790000
1150a8628920
1223aa856b00
1311930c0073
1481b9a5452
154a372d500
hex2cb3e43b0

11999790000 has 1200 divisors, whose sum is σ = 52212086784. Its totient is φ = 2534400000.

The previous prime is 11999789993. The next prime is 11999790001. The reversal of 11999790000 is 9799911.

11999790000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11999790001) 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 239 ways as a sum of consecutive naturals, for example, 387089985 + ... + 387090015.

Almost surely, 211999790000 is an apocalyptic number.

11999790000 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 11999790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26106043392).

11999790000 is an abundant number, since it is smaller than the sum of its proper divisors (40212296784).

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

11999790000 is a wasteful number, since it uses less digits than its factorization.

11999790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The spelling of 11999790000 in words is "eleven billion, nine hundred ninety-nine million, seven hundred ninety thousand".