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77682516813 = 321123113301913
BaseRepresentation
bin100100001011000111…
…1010010001101001101
321102111211100201201100
41020112033102031031
52233043211014223
655404205533313
75420021332566
oct1102617221515
9242454321640
1077682516813
112aa43834720
121307b874239
13742cc7aca5
143a8d07916d
152049ce7043
hex12163d234d

77682516813 has 48 divisors (see below), whose sum is σ = 128861725824. Its totient is φ = 44634670080.

The previous prime is 77682516803. The next prime is 77682516817. The reversal of 77682516813 is 31861528677.

It is a happy number.

It is not a de Polignac number, because 77682516813 - 213 = 77682508621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77682516813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77682516817) 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 47 ways as a sum of consecutive naturals, for example, 106345 + ... + 408257.

It is an arithmetic number, because the mean of its divisors is an integer number (2684619288).

Almost surely, 277682516813 is an apocalyptic number.

It is an amenable number.

77682516813 is a deficient number, since it is larger than the sum of its proper divisors (51179209011).

77682516813 is a wasteful number, since it uses less digits than its factorization.

77682516813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302066 (or 302063 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

It can be divided in two parts, 77682 and 516813, that added together give a palindrome (594495).

The spelling of 77682516813 in words is "seventy-seven billion, six hundred eighty-two million, five hundred sixteen thousand, eight hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 113 207 253 339 759 1017 1243 2277 2599 3729 7797 11187 23391 28589 85767 257301 301913 905739 2717217 3321043 6943999 9963129 20831997 29889387 34116169 62495991 76383989 102348507 229151967 307045521 375277859 687455901 784671887 1125833577 2354015661 3377500731 7062046983 8631390757 25894172271 77682516813