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11934079920 = 243657233141
BaseRepresentation
bin10110001110101001…
…11001101110110000
31010210201002002000000
423013110321232300
5143420111024140
65252112430000
7601511001630
oct130724715660
933721062000
1011934079920
115074527974
122390848300
1311825c4069
14812d7c6c0
1549ca9da30
hex2c7539bb0

11934079920 has 1120 divisors, whose sum is σ = 52460642304. Its totient is φ = 2463436800.

The previous prime is 11934079903. The next prime is 11934079921. The reversal of 11934079920 is 2997043911.

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

It is not an unprimeable number, because it can be changed into a prime (11934079921) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 291075100 + ... + 291075140.

Almost surely, 211934079920 is an apocalyptic number.

11934079920 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 11934079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26230321152).

11934079920 is an abundant number, since it is smaller than the sum of its proper divisors (40526562384).

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

11934079920 is a wasteful number, since it uses less digits than its factorization.

11934079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11934079920 in words is "eleven billion, nine hundred thirty-four million, seventy-nine thousand, nine hundred twenty".