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2720693888 = 27114741113
BaseRepresentation
bin1010001000101010…
…0111111010000000
321000121110120101022
42202022213322000
521032444201023
61125545525012
7124264342103
oct24212477200
97017416338
102720693888
111176840650
1263b1a3768
13344880953
141bb49c73a
1510dcc17c8
hexa22a7e80

2720693888 has 64 divisors (see below), whose sum is σ = 6038824320. Its totient is φ = 1210337280.

The previous prime is 2720693887. The next prime is 2720693917. The reversal of 2720693888 is 8883960272.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2720693887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45620 + ... + 86732.

It is an arithmetic number, because the mean of its divisors is an integer number (94356630).

Almost surely, 22720693888 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 2720693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019412160).

2720693888 is an abundant number, since it is smaller than the sum of its proper divisors (3318130432).

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

2720693888 is a wasteful number, since it uses less digits than its factorization.

2720693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41185 (or 41173 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The square root of 2720693888 is about 52160.2711649393. The cubic root of 2720693888 is about 1396.0251006015.

The spelling of 2720693888 in words is "two billion, seven hundred twenty million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 3008 4136 6016 8272 16544 33088 41113 66176 82226 164452 328904 452243 657808 904486 1315616 1808972 1932311 2631232 3617944 3864622 5262464 7235888 7729244 14471776 15458488 21255421 28943552 30916976 42510842 57887104 61833952 85021684 123667904 170043368 247335808 340086736 680173472 1360346944 2720693888