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25872143440 = 245111319373217
BaseRepresentation
bin11000000110000110…
…011001010001010000
32110210002000001200211
4120012012121101100
5410441232042230
615515133453504
71604064406423
oct300606312120
973702001624
1025872143440
11aa77172330
125020641294
132594128720
1413761319ba
15a1654a42a
hex606199450

25872143440 has 320 divisors, whose sum is σ = 76422608640. Its totient is φ = 8002437120.

The previous prime is 25872143417. The next prime is 25872143567. The reversal of 25872143440 is 4434127852.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25872143393 and 25872143402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8040712 + ... + 8043928.

It is an arithmetic number, because the mean of its divisors is an integer number (238820652).

Almost surely, 225872143440 is an apocalyptic number.

25872143440 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 25872143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211304320).

25872143440 is an abundant number, since it is smaller than the sum of its proper divisors (50550465200).

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

25872143440 is a wasteful number, since it uses less digits than its factorization.

25872143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 25872143440 in words is "twenty-five billion, eight hundred seventy-two million, one hundred forty-three thousand, four hundred forty".