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37347286001 is a prime number
BaseRepresentation
bin100010110010000100…
…100101101111110001
310120101210111200222212
4202302010211233301
51102441401123001
625053533541505
72461333456514
oct426204455761
9116353450885
1037347286001
1114925629823
1272a3644895
1336a2613acc
141b44166d7b
15e88b927bb
hex8b2125bf1

37347286001 has 2 divisors, whose sum is σ = 37347286002. Its totient is φ = 37347286000.

The previous prime is 37347285979. The next prime is 37347286007. The reversal of 37347286001 is 10068274373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36701363776 + 645922225 = 191576^2 + 25415^2 .

It is a cyclic number.

It is not a de Polignac number, because 37347286001 - 222 = 37343091697 is a prime.

It is a super-3 number, since 3×373472860013 (a number of 33 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37347286001.

It is not a weakly prime, because it can be changed into another prime (37347286007) 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, 18673643000 + 18673643001.

It is an arithmetic number, because the mean of its divisors is an integer number (18673643001).

Almost surely, 237347286001 is an apocalyptic number.

It is an amenable number.

37347286001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37347286001 is an equidigital number, since it uses as much as digits as its factorization.

37347286001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 37347286001 in words is "thirty-seven billion, three hundred forty-seven million, two hundred eighty-six thousand, one".