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78526301137 is a prime number
BaseRepresentation
bin100100100100010001…
…0000100001111010001
321111200122002102012121
41021020202010033101
52241310213114022
6100024031054241
75446645355314
oct1111042041721
9244618072177
1078526301137
1130337060339
1213276371381
137535a2105b
143b2d16097b
152098e1c2c7
hex12488843d1

78526301137 has 2 divisors, whose sum is σ = 78526301138. Its totient is φ = 78526301136.

The previous prime is 78526301099. The next prime is 78526301153. The reversal of 78526301137 is 73110362587.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63499464081 + 15026837056 = 251991^2 + 122584^2 .

It is an emirp because it is prime and its reverse (73110362587) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-78526301137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78526301093 and 78526301102.

It is not a weakly prime, because it can be changed into another prime (78526301167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39263150568 + 39263150569.

It is an arithmetic number, because the mean of its divisors is an integer number (39263150569).

Almost surely, 278526301137 is an apocalyptic number.

It is an amenable number.

78526301137 is a deficient number, since it is larger than the sum of its proper divisors (1).

78526301137 is an equidigital number, since it uses as much as digits as its factorization.

78526301137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 78526301137 in words is "seventy-eight billion, five hundred twenty-six million, three hundred one thousand, one hundred thirty-seven".