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23575005440 = 285721973271
BaseRepresentation
bin10101111101001011…
…100000100100000000
32020211222112100202122
4111331023200210000
5341240200133230
614455154103412
71463132145200
oct257513404400
966758470678
1023575005440
119aa8526578
12469b27ab68
1322b924617c
1411d900a400
1592ea41be5
hex57d2e0900

23575005440 has 432 divisors, whose sum is σ = 70352190720. Its totient is φ = 7524679680.

The previous prime is 23575005413. The next prime is 23575005449. The reversal of 23575005440 is 4450057532.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23575005440.

It is not an unprimeable number, because it can be changed into a prime (23575005449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86992505 + ... + 86992775.

Almost surely, 223575005440 is an apocalyptic number.

23575005440 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 23575005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176095360).

23575005440 is an abundant number, since it is smaller than the sum of its proper divisors (46777185280).

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

23575005440 is a wasteful number, since it uses less digits than its factorization.

23575005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 23575005440 in words is "twenty-three billion, five hundred seventy-five million, five thousand, four hundred forty".