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23444494080 = 283576831277
BaseRepresentation
bin10101110101011001…
…101001011100000000
32020111212221200211120
4111311121221130000
5341003242302310
614434212512240
71456655624460
oct256531513400
966455850746
1023444494080
119a40895447
12466361b680
1322981aba07
1411c5955ba0
15923361b70
hex575669700

23444494080 has 288 divisors, whose sum is σ = 85764801024. Its totient is φ = 5346705408.

The previous prime is 23444494063. The next prime is 23444494121. The reversal of 23444494080 is 8049444432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18358402 + ... + 18359678.

It is an arithmetic number, because the mean of its divisors is an integer number (297794448).

Almost surely, 223444494080 is an apocalyptic number.

23444494080 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 23444494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882400512).

23444494080 is an abundant number, since it is smaller than the sum of its proper divisors (62320306944).

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

23444494080 is a wasteful number, since it uses less digits than its factorization.

23444494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 23444494080 in words is "twenty-three billion, four hundred forty-four million, four hundred ninety-four thousand, eighty".