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37830308129 is a prime number
BaseRepresentation
bin100011001110110111…
…001011000100100001
310121122110101202210022
4203032313023010201
51104434024330004
625213510443225
72506320212345
oct431667130441
9117573352708
1037830308129
111505324a469
1273b9363515
13374b703213
141b8c37d625
15eb62a52be
hex8cedcb121

37830308129 has 2 divisors, whose sum is σ = 37830308130. Its totient is φ = 37830308128.

The previous prime is 37830308077. The next prime is 37830308179. The reversal of 37830308129 is 92180303873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20945904529 + 16884403600 = 144727^2 + 129940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37830308129 is a prime.

It is a super-2 number, since 2×378303081292 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37830308129.

It is not a weakly prime, because it can be changed into another prime (37830308179) 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, 18915154064 + 18915154065.

It is an arithmetic number, because the mean of its divisors is an integer number (18915154065).

Almost surely, 237830308129 is an apocalyptic number.

It is an amenable number.

37830308129 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830308129 is an equidigital number, since it uses as much as digits as its factorization.

37830308129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 37830308129 in words is "thirty-seven billion, eight hundred thirty million, three hundred eight thousand, one hundred twenty-nine".