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77785633153 is a prime number
BaseRepresentation
bin100100001110001100…
…0101001000110000001
321102210000101120202001
41020130120221012001
52233301110230103
655422332024001
75422412654404
oct1103430510601
9242700346661
1077785633153
112aa96a64538
12130aa302001
137448443087
143a9ca3bd3b
152053db501d
hex121c629181

77785633153 has 2 divisors, whose sum is σ = 77785633154. Its totient is φ = 77785633152.

The previous prime is 77785633103. The next prime is 77785633169. The reversal of 77785633153 is 35133658777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74940157504 + 2845475649 = 273752^2 + 53343^2 .

It is a cyclic number.

It is not a de Polignac number, because 77785633153 - 29 = 77785632641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77785633094 and 77785633103.

It is not a weakly prime, because it can be changed into another prime (77785633103) 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, 38892816576 + 38892816577.

It is an arithmetic number, because the mean of its divisors is an integer number (38892816577).

Almost surely, 277785633153 is an apocalyptic number.

It is an amenable number.

77785633153 is a deficient number, since it is larger than the sum of its proper divisors (1).

77785633153 is an equidigital number, since it uses as much as digits as its factorization.

77785633153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11113200, while the sum is 55.

The spelling of 77785633153 in words is "seventy-seven billion, seven hundred eighty-five million, six hundred thirty-three thousand, one hundred fifty-three".