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37364123117 is a prime number
BaseRepresentation
bin100010110011000100…
…110100010111101101
310120102222012010011202
4202303010310113231
51103010203414432
625055334455245
72461626543356
oct426304642755
9116388163152
1037364123117
11149340897a2
1272a9204525
1336a5c5a6b9
141b464aad2d
15e8a3bb462
hex8b31345ed

37364123117 has 2 divisors, whose sum is σ = 37364123118. Its totient is φ = 37364123116.

The previous prime is 37364123053. The next prime is 37364123161. The reversal of 37364123117 is 71132146373.

37364123117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35592218281 + 1771904836 = 188659^2 + 42094^2 .

It is a cyclic number.

It is not a de Polignac number, because 37364123117 - 26 = 37364123053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37364123177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18682061558 + 18682061559.

It is an arithmetic number, because the mean of its divisors is an integer number (18682061559).

Almost surely, 237364123117 is an apocalyptic number.

It is an amenable number.

37364123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

37364123117 is an equidigital number, since it uses as much as digits as its factorization.

37364123117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63504, while the sum is 38.

The spelling of 37364123117 in words is "thirty-seven billion, three hundred sixty-four million, one hundred twenty-three thousand, one hundred seventeen".