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12623183056037 is a prime number
BaseRepresentation
bin1011011110110001000001…
…0101111000110010100101
31122200202122022221102112202
42313230100111320302211
53123304234330243122
642503002113424245
72441665146414131
oct267542025706245
948622568842482
1012623183056037
114027509827544
1214ba55a56b085
13707490310118
14318d72ba23c1
1516d5581abe92
hexb7b10578ca5

12623183056037 has 2 divisors, whose sum is σ = 12623183056038. Its totient is φ = 12623183056036.

The previous prime is 12623183056009. The next prime is 12623183056061. The reversal of 12623183056037 is 73065038132621.

12623183056037 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., 12623176573921 + 6482116 = 3552911^2 + 2546^2 .

It is a cyclic number.

It is not a de Polignac number, because 12623183056037 - 226 = 12623115947173 is a prime.

It is a super-2 number, since 2×126231830560372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12623183055982 and 12623183056000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12623183056007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6311591528018 + 6311591528019.

It is an arithmetic number, because the mean of its divisors is an integer number (6311591528019).

Almost surely, 212623183056037 is an apocalyptic number.

It is an amenable number.

12623183056037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12623183056037 is an equidigital number, since it uses as much as digits as its factorization.

12623183056037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 12623183056037 in words is "twelve trillion, six hundred twenty-three billion, one hundred eighty-three million, fifty-six thousand, thirty-seven".