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77070994117 = 1337220812
BaseRepresentation
bin100011111000111001…
…0100000101011000101
321100221012200011021121
41013301302200223011
52230320133302432
655223402513541
75365614432565
oct1076162405305
9240835604247
1077070994117
112a75a626667
1212b2ab058b1
137363379740
143a31b72da5
1520112a0197
hex11f1ca0ac5

77070994117 has 18 divisors (see below), whose sum is σ = 85344401814. Its totient is φ = 69186424320.

The previous prime is 77070994073. The next prime is 77070994163. The reversal of 77070994117 is 71149907077.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 4911066241 + 72159927876 = 70079^2 + 268626^2 .

It is not a de Polignac number, because 77070994117 - 223 = 77062605509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77070974117) 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 17 ways as a sum of consecutive naturals, for example, 37034517 + ... + 37036597.

Almost surely, 277070994117 is an apocalyptic number.

It is an amenable number.

77070994117 is a deficient number, since it is larger than the sum of its proper divisors (8273407697).

77070994117 is an frugal number, since it uses more digits than its factorization.

77070994117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 52.

Multiplying 77070994117 by its sum of digits (52), we get a square (4007691694084 = 20019222).

The spelling of 77070994117 in words is "seventy-seven billion, seventy million, nine hundred ninety-four thousand, one hundred seventeen".

Divisors: 1 13 37 481 1369 2081 17797 27053 76997 1000961 2848889 4330561 37035557 56297293 160230757 2082999841 5928538009 77070994117