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37830008393 is a prime number
BaseRepresentation
bin100011001110110110…
…000001111001001001
310121122102211112121222
4203032312001321021
51104433440232033
625213500211425
72506314523442
oct431666017111
9117572745558
1037830008393
1115053065251
1273b9239b75
13374b629968
141b8c3022c9
15eb6246598
hex8ced81e49

37830008393 has 2 divisors, whose sum is σ = 37830008394. Its totient is φ = 37830008392.

The previous prime is 37830008369. The next prime is 37830008413. The reversal of 37830008393 is 39380003873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22684275769 + 15145732624 = 150613^2 + 123068^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830008393 - 28 = 37830008137 is a prime.

It is a super-4 number, since 4×378300083934 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37830008893) 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, 18915004196 + 18915004197.

It is an arithmetic number, because the mean of its divisors is an integer number (18915004197).

Almost surely, 237830008393 is an apocalyptic number.

It is an amenable number.

37830008393 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830008393 is an equidigital number, since it uses as much as digits as its factorization.

37830008393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 37830008393 in words is "thirty-seven billion, eight hundred thirty million, eight thousand, three hundred ninety-three".