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23528867040 = 25345736779
BaseRepresentation
bin10101111010011011…
…100000010011100000
32020201202201021210000
4111322123200103200
5341141342221130
614450425140000
71462032033000
oct257233402340
966652637700
1023528867040
119a84483068
12468792a600
1322ac810643
1411d2c3a000
1592a97b260
hex57a6e04e0

23528867040 has 960 divisors, whose sum is σ = 99525888000. Its totient is φ = 5230697472.

The previous prime is 23528866997. The next prime is 23528867057. The reversal of 23528867040 is 4076882532.

23528867040 is a `hidden beast` number, since 2 + 3 + 528 + 86 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 297833721 + ... + 297833799.

It is an arithmetic number, because the mean of its divisors is an integer number (103672800).

Almost surely, 223528867040 is an apocalyptic number.

23528867040 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 23528867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762944000).

23528867040 is an abundant number, since it is smaller than the sum of its proper divisors (75997020960).

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

23528867040 is an equidigital number, since it uses as much as digits as its factorization.

23528867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23528867040 in words is "twenty-three billion, five hundred twenty-eight million, eight hundred sixty-seven thousand, forty".