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2725325568 = 28337233179
BaseRepresentation
bin1010001001110001…
…0010101100000000
321000221011212212000
42202130102230000
521040140404233
61130233104000
7124351612410
oct24234225400
97027155760
102725325568
111179414489
12640858000
13345812ba4
141bbd46640
1510e3d8d13
hexa2712b00

2725325568 has 576 divisors, whose sum is σ = 10046668800. Its totient is φ = 711659520.

The previous prime is 2725325543. The next prime is 2725325569. The reversal of 2725325568 is 8655235272.

2725325568 is a `hidden beast` number, since 2 + 7 + 2 + 532 + 55 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2725325569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34497753 + ... + 34497831.

Almost surely, 22725325568 is an apocalyptic number.

2725325568 is a gapful number since it is divisible by the number (28) 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 2725325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023334400).

2725325568 is an abundant number, since it is smaller than the sum of its proper divisors (7321343232).

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

2725325568 is a wasteful number, since it uses less digits than its factorization.

2725325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2725325568 is about 52204.6508272970. The cubic root of 2725325568 is about 1396.8168441894.

The spelling of 2725325568 in words is "two billion, seven hundred twenty-five million, three hundred twenty-five thousand, five hundred sixty-eight".