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2047835681 is a prime number
BaseRepresentation
bin111101000001111…
…0111111000100001
312021201100211102222
41322003313320201
513143221220211
6535112120425
7101514213263
oct17203677041
95251324388
102047835681
11960a4a291
12491996115
132683555b8
14155d8bb33
15bebb11db
hex7a0f7e21

2047835681 has 2 divisors, whose sum is σ = 2047835682. Its totient is φ = 2047835680.

The previous prime is 2047835653. The next prime is 2047835693. The reversal of 2047835681 is 1865387402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1385030656 + 662805025 = 37216^2 + 25745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2047835681 is a prime.

It is a super-2 number, since 2×20478356812 = 8387261952753467522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2047835641) 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 as a sum of consecutive naturals, namely, 1023917840 + 1023917841.

It is an arithmetic number, because the mean of its divisors is an integer number (1023917841).

Almost surely, 22047835681 is an apocalyptic number.

It is an amenable number.

2047835681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2047835681 is an equidigital number, since it uses as much as digits as its factorization.

2047835681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 2047835681 is about 45253.0184739096. The cubic root of 2047835681 is about 1269.8868771045.

The spelling of 2047835681 in words is "two billion, forty-seven million, eight hundred thirty-five thousand, six hundred eighty-one".