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23243552640 = 27365711647
BaseRepresentation
bin10101101001011011…
…000111011110000000
32012222212211211000000
4111221123013132000
5340100322141030
614402234000000
71451665636410
oct255133073600
965885754000
1023243552640
11994841a140
124608276000
132265685059
1411a6daa640
159108bd860
hex5696c7780

23243552640 has 896 divisors, whose sum is σ = 104029816320. Its totient is φ = 4822364160.

The previous prime is 23243552603. The next prime is 23243552653. The reversal of 23243552640 is 4625534232.

23243552640 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 3 + 5 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 23243552595 and 23243552604.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 35924797 + ... + 35925443.

Almost surely, 223243552640 is an apocalyptic number.

23243552640 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 23243552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014908160).

23243552640 is an abundant number, since it is smaller than the sum of its proper divisors (80786263680).

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

23243552640 is an equidigital number, since it uses as much as digits as its factorization.

23243552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 23243552640 in words is "twenty-three billion, two hundred forty-three million, five hundred fifty-two thousand, six hundred forty".