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2720729088 = 2113571171
BaseRepresentation
bin1010001000101011…
…0000100000000000
321000121112100200000
42202022300200000
521033001312323
61125550400000
7124264546530
oct24212604000
97017470600
102720729088
111176865040
1263b200000
1334489398c
141bb4ab4c0
1510dccbe43
hexa22b0800

2720729088 has 576 divisors, whose sum is σ = 10302888960. Its totient is φ = 696729600.

The previous prime is 2720729069. The next prime is 2720729119. The reversal of 2720729088 is 8809270272.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38320093 + ... + 38320163.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 22720729088 is an apocalyptic number.

2720729088 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 2720729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

2720729088 is an abundant number, since it is smaller than the sum of its proper divisors (7582159872).

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

2720729088 is an equidigital number, since it uses as much as digits as its factorization.

2720729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2720729088 is about 52160.6085854067. The cubic root of 2720729088 is about 1396.0311211087.

The spelling of 2720729088 in words is "two billion, seven hundred twenty million, seven hundred twenty-nine thousand, eighty-eight".