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23873439744 = 21135721189
BaseRepresentation
bin10110001110111101…
…111100100000000000
32021121210002101200000
4112032331330200000
5342343100032434
614544534400000
71503414614100
oct261675744000
967553071600
1023873439744
11a140a306a0
124763200000
13233601640b
1412268d3200
1594ad41b99
hex58ef7c800

23873439744 has 864 divisors, whose sum is σ = 91760104800. Its totient is φ = 6131220480.

The previous prime is 23873439703. The next prime is 23873439749. The reversal of 23873439744 is 44793437832.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×238734397442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (12192768) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (23873439749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268240852 + ... + 268240940.

It is an arithmetic number, because the mean of its divisors is an integer number (106203825).

Almost surely, 223873439744 is an apocalyptic number.

23873439744 is a gapful number since it is divisible by the number (24) 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 23873439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880052400).

23873439744 is an abundant number, since it is smaller than the sum of its proper divisors (67886665056).

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

23873439744 is an equidigital number, since it uses as much as digits as its factorization.

23873439744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 23873439744 in words is "twenty-three billion, eight hundred seventy-three million, four hundred thirty-nine thousand, seven hundred forty-four".