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23281387272 = 233211132281619
BaseRepresentation
bin10101101011101011…
…011100011100001000
32020002112001000100200
4111223223130130020
5340140013343042
614410104532200
71452635345433
oct255353343410
966075030320
1023281387272
119967810930
124618a81060
132270471100
1411ac01881a
15913d93c4c
hex56badc708

23281387272 has 288 divisors, whose sum is σ = 74869984800. Its totient is φ = 6478617600.

The previous prime is 23281387243. The next prime is 23281387291. The reversal of 23281387272 is 27278318232.

23281387272 is a `hidden beast` number, since 23 + 281 + 3 + 87 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37610979 + ... + 37611597.

It is an arithmetic number, because the mean of its divisors is an integer number (259965225).

Almost surely, 223281387272 is an apocalyptic number.

23281387272 is a gapful number since it is divisible by the number (22) 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 23281387272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37434992400).

23281387272 is an abundant number, since it is smaller than the sum of its proper divisors (51588597528).

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

23281387272 is a wasteful number, since it uses less digits than its factorization.

23281387272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 929 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 23281387272 in words is "twenty-three billion, two hundred eighty-one million, three hundred eighty-seven thousand, two hundred seventy-two".