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37830305057 is a prime number
BaseRepresentation
bin100011001110110111…
…001010010100100001
310121122110101121120112
4203032313022110201
51104434024230212
625213510421105
72506320200366
oct431667122441
9117573347515
1037830305057
1115053248126
1273b9361795
13374b7019bc
141b8c37c46d
15eb62a4422
hex8cedca521

37830305057 has 2 divisors, whose sum is σ = 37830305058. Its totient is φ = 37830305056.

The previous prime is 37830304997. The next prime is 37830305087. The reversal of 37830305057 is 75050303873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37715193616 + 115111441 = 194204^2 + 10729^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830305057 - 224 = 37813527841 is a prime.

It is a super-2 number, since 2×378303050572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37830305087) 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, 18915152528 + 18915152529.

It is an arithmetic number, because the mean of its divisors is an integer number (18915152529).

Almost surely, 237830305057 is an apocalyptic number.

It is an amenable number.

37830305057 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830305057 is an equidigital number, since it uses as much as digits as its factorization.

37830305057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 37830305057 in words is "thirty-seven billion, eight hundred thirty million, three hundred five thousand, fifty-seven".