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23242630680 = 23325232312127
BaseRepresentation
bin10101101001010111…
…100110011000011000
32012222211002222022100
4111221113212120120
5340100103140210
614402202123400
71451655046443
oct255127463030
965884088270
1023242630680
11994794a495
124607ab0560
132265421509
1411a6c0a65a
1591078a5c0
hex5695e6618

23242630680 has 432 divisors, whose sum is σ = 82237559040. Its totient is φ = 5692135680.

The previous prime is 23242630651. The next prime is 23242630681. The reversal of 23242630680 is 8603624232.

23242630680 is a `hidden beast` number, since 2 + 324 + 26 + 306 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23242630681) 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 107 ways as a sum of consecutive naturals, for example, 183012777 + ... + 183012903.

It is an arithmetic number, because the mean of its divisors is an integer number (190364720).

Almost surely, 223242630680 is an apocalyptic number.

23242630680 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 23242630680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41118779520).

23242630680 is an abundant number, since it is smaller than the sum of its proper divisors (58994928360).

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

23242630680 is a wasteful number, since it uses less digits than its factorization.

23242630680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23242630680 in words is "twenty-three billion, two hundred forty-two million, six hundred thirty thousand, six hundred eighty".