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2042006598353 is a prime number
BaseRepresentation
bin11101101101110001000…
…100111111001011010001
321020012202221200010221002
4131231301010333023101
5231424012142121403
64202030200111345
7300346553461601
oct35556104771321
97205687603832
102042006598353
11718012542977
1228b907a65555
1311a739261427
1470b95752c01
15381b5c2c188
hex1db7113f2d1

2042006598353 has 2 divisors, whose sum is σ = 2042006598354. Its totient is φ = 2042006598352.

The previous prime is 2042006598343. The next prime is 2042006598403. The reversal of 2042006598353 is 3538956002402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1686733380049 + 355273218304 = 1298743^2 + 596048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2042006598353 is a prime.

It is a super-3 number, since 3×20420065983533 (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2042006598298 and 2042006598307.

It is not a weakly prime, because it can be changed into another prime (2042006598343) by changing a digit.

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 as a sum of consecutive naturals, namely, 1021003299176 + 1021003299177.

It is an arithmetic number, because the mean of its divisors is an integer number (1021003299177).

Almost surely, 22042006598353 is an apocalyptic number.

It is an amenable number.

2042006598353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042006598353 is an equidigital number, since it uses as much as digits as its factorization.

2042006598353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 2042006598353 in words is "two trillion, forty-two billion, six million, five hundred ninety-eight thousand, three hundred fifty-three".