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2538005291 = 83972391319
BaseRepresentation
bin1001011101000110…
…1110001100101011
320112212201000201222
42113101232030223
520144212132131
61055502132255
7116615455223
oct22721561453
96485630658
102538005291
111092701a38
125a9b8108b
13315a780a3
141a1105083
15ecc3687b
hex9746e32b

2538005291 has 16 divisors (see below), whose sum is σ = 2607897600. Its totient is φ = 2469320448.

The previous prime is 2538005287. The next prime is 2538005321. The reversal of 2538005291 is 1925008352.

It is a cyclic number.

It is not a de Polignac number, because 2538005291 - 22 = 2538005287 is a prime.

It is a Duffinian number.

2538005291 is a modest number, since divided by 5291 gives 2538 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2538005221) 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, 1923530 + ... + 1924848.

It is an arithmetic number, because the mean of its divisors is an integer number (162993600).

Almost surely, 22538005291 is an apocalyptic number.

2538005291 is a deficient number, since it is larger than the sum of its proper divisors (69892309).

2538005291 is a wasteful number, since it uses less digits than its factorization.

2538005291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2538005291 is about 50378.6193836234. The cubic root of 2538005291 is about 1364.0517310168.

The spelling of 2538005291 in words is "two billion, five hundred thirty-eight million, five thousand, two hundred ninety-one".

Divisors: 1 83 97 239 1319 8051 19837 23183 109477 127943 315241 1924189 10619269 26165003 30578377 2538005291