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425209501728 = 253311389115013
BaseRepresentation
bin1100011000000000111…
…01100001100000100000
31111122112120200202011000
412030000131201200200
523431312113023403
6523201043152000
742502042062414
oct6140035414040
91448476622130
10425209501728
1115436a751150
126a4a9975600
13311353a797b
141681a2c2d44
15b0d9ba07a3
hex6300761820

425209501728 has 192 divisors, whose sum is σ = 1356429110400. Its totient is φ = 128519009280.

The previous prime is 425209501687. The next prime is 425209501733. The reversal of 425209501728 is 827105902524.

425209501728 is a `hidden beast` number, since 4 + 2 + 520 + 9 + 50 + 1 + 72 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639550 + ... + 3754562.

It is an arithmetic number, because the mean of its divisors is an integer number (7064734950).

Almost surely, 2425209501728 is an apocalyptic number.

425209501728 is a gapful number since it is divisible by the number (48) 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 425209501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678214555200).

425209501728 is an abundant number, since it is smaller than the sum of its proper divisors (931219608672).

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

425209501728 is a wasteful number, since it uses less digits than its factorization.

425209501728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115432 (or 115418 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 425209501728 in words is "four hundred twenty-five billion, two hundred nine million, five hundred one thousand, seven hundred twenty-eight".