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2134828765 = 529109293461
BaseRepresentation
bin111111100111110…
…1110011011011101
312111210001112112001
41333033232123131
513333004010030
6551500442301
7103621513366
oct17717563335
95453045461
102134828765
119a60674a3
124b6b49391
132803939b4
14163754b6d
15c7646cca
hex7f3ee6dd

2134828765 has 32 divisors (see below), whose sum is σ = 2689394400. Its totient is φ = 1624734720.

The previous prime is 2134828757. The next prime is 2134828811. The reversal of 2134828765 is 5678284312.

It can be written as a sum of positive squares in 16 ways, for example, as 58568409 + 2076260356 = 7653^2 + 45566^2 .

It is not a de Polignac number, because 2134828765 - 23 = 2134828757 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630635 + ... + 4631095.

It is an arithmetic number, because the mean of its divisors is an integer number (84043575).

Almost surely, 22134828765 is an apocalyptic number.

It is an amenable number.

2134828765 is a deficient number, since it is larger than the sum of its proper divisors (554565635).

2134828765 is a wasteful number, since it uses less digits than its factorization.

2134828765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its digits is 645120, while the sum is 46.

The square root of 2134828765 is about 46204.2072218537. The cubic root of 2134828765 is about 1287.6199057586.

The spelling of 2134828765 in words is "two billion, one hundred thirty-four million, eight hundred twenty-eight thousand, seven hundred sixty-five".

Divisors: 1 5 29 109 145 293 461 545 1465 2305 3161 8497 13369 15805 31937 42485 50249 66845 135073 159685 251245 675365 926173 1457221 3917117 4630865 7286105 14722957 19585585 73614785 426965753 2134828765