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12371827085 = 537257260213
BaseRepresentation
bin10111000010110101…
…10001100110001101
31011221012202221012222
423201122301212031
5200314141431320
65403351105125
7615404536502
oct134132614615
934835687188
1012371827085
115279634892
1224933721a5
1312221c0957
1485516b4a9
154c621b825
hex2e16b198d

12371827085 has 16 divisors (see below), whose sum is σ = 15306828336. Its totient is φ = 9592455168.

The previous prime is 12371827081. The next prime is 12371827093. The reversal of 12371827085 is 58072817321.

12371827085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3336564169 + 9035262916 = 57763^2 + 95054^2 .

It is a cyclic number.

It is not a de Polignac number, because 12371827085 - 22 = 12371827081 is a prime.

It is a super-2 number, since 2×123718270852 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12371827081) 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 in 15 ways as a sum of consecutive naturals, for example, 82562 + ... + 177651.

It is an arithmetic number, because the mean of its divisors is an integer number (956676771).

Almost surely, 212371827085 is an apocalyptic number.

It is an amenable number.

12371827085 is a deficient number, since it is larger than the sum of its proper divisors (2935001251).

12371827085 is a wasteful number, since it uses less digits than its factorization.

12371827085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260512.

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 12371827085 in words is "twelve billion, three hundred seventy-one million, eight hundred twenty-seven thousand, eighty-five".

Divisors: 1 5 37 185 257 1285 9509 47545 260213 1301065 9627881 48139405 66874741 334373705 2474365417 12371827085