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2640813441 = 37235753353
BaseRepresentation
bin1001110101100111…
…1001110110000001
320211001011020000020
42131121321312001
520402022012231
61114013444053
7122304354360
oct23531716601
96731136006
102640813441
111135741252
126184a0629
13331162b06
141b0a277d7
15106c93396
hex9d679d81

2640813441 has 16 divisors (see below), whose sum is σ = 4025879424. Its totient is φ = 1508367744.

The previous prime is 2640813421. The next prime is 2640813449. The reversal of 2640813441 is 1443180462.

It is a de Polignac number, because none of the positive numbers 2k-2640813441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2640813449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22821 + ... + 76173.

It is an arithmetic number, because the mean of its divisors is an integer number (251617464).

Almost surely, 22640813441 is an apocalyptic number.

2640813441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2640813441 is a deficient number, since it is larger than the sum of its proper divisors (1385065983).

2640813441 is a wasteful number, since it uses less digits than its factorization.

2640813441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55720.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2640813441 is about 51388.8454919937. The cubic root of 2640813441 is about 1382.2265814654.

The spelling of 2640813441 in words is "two billion, six hundred forty million, eight hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 2357 7071 16499 49497 53353 160059 373471 1120413 125753021 377259063 880271147 2640813441