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23450112000 = 21232537727
BaseRepresentation
bin10101110101101111…
…000101000000000000
32020112021112010011200
4111311233011000000
5341011212041000
614434533141200
71460054443320
oct256557050000
966467463150
1023450112000
119a43a82257
12466548a800
1322993c7b23
1411c65b9280
15923ac1500
hex575bc5000

23450112000 has 624 divisors, whose sum is σ = 96744490752. Its totient is φ = 5352652800.

The previous prime is 23450111987. The next prime is 23450112011. The reversal of 23450112000 is 21105432.

23450112000 is a `hidden beast` number, since 2 + 3 + 450 + 11 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255637 + ... + 32256363.

It is an arithmetic number, because the mean of its divisors is an integer number (155039248).

Almost surely, 223450112000 is an apocalyptic number.

23450112000 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 23450112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372245376).

23450112000 is an abundant number, since it is smaller than the sum of its proper divisors (73294378752).

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

23450112000 is an equidigital number, since it uses as much as digits as its factorization.

23450112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 23450112000 its reverse (21105432), we get a palindrome (23471217432).

The spelling of 23450112000 in words is "twenty-three billion, four hundred fifty million, one hundred twelve thousand".