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25780146048 = 27371937131
BaseRepresentation
bin11000000000100111…
…011100111110000000
32110112122220010000000
4120000213130332000
5410244204133143
615502050000000
71601566424436
oct300047347600
973478803000
1025780146048
11aa2a247328
124bb5876000
13257b0575b7
141367c24d56
15a0d426bd3
hex6009dcf80

25780146048 has 512 divisors, whose sum is σ = 83907648000. Its totient is φ = 7860602880.

The previous prime is 25780146031. The next prime is 25780146061. The reversal of 25780146048 is 84064108752.

25780146048 is a `hidden beast` number, since 2 + 578 + 0 + 14 + 60 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25780145994 and 25780146012.

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, 196794943 + ... + 196795073.

It is an arithmetic number, because the mean of its divisors is an integer number (163882125).

Almost surely, 225780146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25780146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41953824000).

25780146048 is an abundant number, since it is smaller than the sum of its proper divisors (58127501952).

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

25780146048 is an equidigital number, since it uses as much as digits as its factorization.

25780146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 25780146048 in words is "twenty-five billion, seven hundred eighty million, one hundred forty-six thousand, forty-eight".