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2047337393 is a prime number
BaseRepresentation
bin111101000000111…
…1110001110110001
312021200102111220212
41322001332032301
513143104244033
6535053313505
7101510036453
oct17201761661
95250374825
102047337393
11960739982
12491795895
1326820c85a
14155c9c2d3
15beb13748
hex7a07e3b1

2047337393 has 2 divisors, whose sum is σ = 2047337394. Its totient is φ = 2047337392.

The previous prime is 2047337359. The next prime is 2047337407. The reversal of 2047337393 is 3937337402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1067459584 + 979877809 = 32672^2 + 31303^2 .

It is a cyclic number.

It is not a de Polignac number, because 2047337393 - 212 = 2047333297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2047337393.

It is not a weakly prime, because it can be changed into another prime (2047337323) 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, 1023668696 + 1023668697.

It is an arithmetic number, because the mean of its divisors is an integer number (1023668697).

Almost surely, 22047337393 is an apocalyptic number.

It is an amenable number.

2047337393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2047337393 is an equidigital number, since it uses as much as digits as its factorization.

2047337393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 41.

The square root of 2047337393 is about 45247.5125614657. The cubic root of 2047337393 is about 1269.7838706756.

The spelling of 2047337393 in words is "two billion, forty-seven million, three hundred thirty-seven thousand, three hundred ninety-three".