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2791309313 = 131409152389
BaseRepresentation
bin1010011001100000…
…0000000000000001
321012112100012112102
42212120000000001
521204033344223
61140551240145
7126112511012
oct24630000001
97175305472
102791309313
111202692001
1265a979055
133563a6620
141c6a01009
151150be928
hexa6600001

2791309313 has 8 divisors (see below), whose sum is σ = 3008178600. Its totient is φ = 2574747648.

The previous prime is 2791309307. The next prime is 2791309331. The reversal of 2791309313 is 3139031972.

It is a Cunningham number, because it is equal to 14083+1.

It can be written as a sum of positive squares in 4 ways, for example, as 121727089 + 2669582224 = 11033^2 + 51668^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2791309313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2791309303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57878 + ... + 94511.

It is an arithmetic number, because the mean of its divisors is an integer number (376022325).

It is a Proth number, since it is equal to 1331 ⋅ 221 + 1 and 1331 < 221.

Almost surely, 22791309313 is an apocalyptic number.

It is an amenable number.

2791309313 is a deficient number, since it is larger than the sum of its proper divisors (216869287).

2791309313 is a wasteful number, since it uses less digits than its factorization.

2791309313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153811.

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 2791309313 is about 52832.8431281149. The cubic root of 2791309313 is about 1408.0000001681. Note that the first 6 decimals are identical.

The spelling of 2791309313 in words is "two billion, seven hundred ninety-one million, three hundred nine thousand, three hundred thirteen".

Divisors: 1 13 1409 18317 152389 1981057 214716101 2791309313