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23126780880 = 2433572353619
BaseRepresentation
bin10101100010011101…
…101010101111010000
32012200202010012021000
4111202131222233100
5334330423442010
614342503102000
71446050252100
oct254235525720
965622105230
1023126780880
119898512855
124595141900
13224741b638
141195691200
159055047c0
hex56276abd0

23126780880 has 480 divisors, whose sum is σ = 93077078400. Its totient is φ = 5262630912.

The previous prime is 23126780879. The next prime is 23126780881. The reversal of 23126780880 is 8808762132.

23126780880 is a `hidden beast` number, since 231 + 267 + 80 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (23126780879) and next prime (23126780881).

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 (23126780881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37361211 + ... + 37361829.

It is an arithmetic number, because the mean of its divisors is an integer number (193910580).

Almost surely, 223126780880 is an apocalyptic number.

23126780880 is a gapful number since it is divisible by the number (20) 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 23126780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46538539200).

23126780880 is an abundant number, since it is smaller than the sum of its proper divisors (69950297520).

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

23126780880 is a wasteful number, since it uses less digits than its factorization.

23126780880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 23126780880 in words is "twenty-three billion, one hundred twenty-six million, seven hundred eighty thousand, eight hundred eighty".