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77580830753 is a prime number
BaseRepresentation
bin100100001000000101…
…1011000100000100001
321102020202000112122222
41020100023120200201
52232341143041003
655350134240425
75414345116016
oct1102013304041
9242222015588
1077580830753
112a9a13a1458
12130517b6115
137414b96c1a
143a7d76970d
152040e0cc38
hex12102d8821

77580830753 has 2 divisors, whose sum is σ = 77580830754. Its totient is φ = 77580830752.

The previous prime is 77580830729. The next prime is 77580830773. The reversal of 77580830753 is 35703808577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49982650624 + 27598180129 = 223568^2 + 166127^2 .

It is a cyclic number.

It is not a de Polignac number, because 77580830753 - 224 = 77564053537 is a prime.

It is a super-3 number, since 3×775808307533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77580830695 and 77580830704.

It is not a weakly prime, because it can be changed into another prime (77580830773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38790415376 + 38790415377.

It is an arithmetic number, because the mean of its divisors is an integer number (38790415377).

Almost surely, 277580830753 is an apocalyptic number.

It is an amenable number.

77580830753 is a deficient number, since it is larger than the sum of its proper divisors (1).

77580830753 is an equidigital number, since it uses as much as digits as its factorization.

77580830753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 77580830753 in words is "seventy-seven billion, five hundred eighty million, eight hundred thirty thousand, seven hundred fifty-three".