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2039742513 = 33598315427
BaseRepresentation
bin111100110010100…
…0000000000110001
312021011010122201000
41321211000000301
513134133230023
6534222432213
7101355345114
oct17145000061
95234118630
102039742513
11957421816
1248b132669
13266780943
14154c8257b
15be113243
hex79940031

2039742513 has 32 divisors (see below), whose sum is σ = 3110284800. Its totient is φ = 1320589008.

The previous prime is 2039742493. The next prime is 2039742541. The reversal of 2039742513 is 3152479302.

It is not a de Polignac number, because 2039742513 - 218 = 2039480369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2039742563) 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 31 ways as a sum of consecutive naturals, for example, 124506 + ... + 139932.

It is an arithmetic number, because the mean of its divisors is an integer number (97196400).

Almost surely, 22039742513 is an apocalyptic number.

It is an amenable number.

2039742513 is a deficient number, since it is larger than the sum of its proper divisors (1070542287).

2039742513 is a wasteful number, since it uses less digits than its factorization.

2039742513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15578 (or 15572 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2039742513 is about 45163.5086435941. The cubic root of 2039742513 is about 1268.2117790628.

The spelling of 2039742513 in words is "two billion, thirty-nine million, seven hundred forty-two thousand, five hundred thirteen".

Divisors: 1 3 9 27 59 83 177 249 531 747 1593 2241 4897 14691 15427 44073 46281 132219 138843 416529 910193 1280441 2730579 3841323 8191737 11523969 24575211 34571907 75546019 226638057 679914171 2039742513