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79434420646789 = 1337538935010457
BaseRepresentation
bin10010000011111011000100…
…011011001111001110000101
3101102020212010100111222212201
4102003323010123033032011
540402423143141144124
6440535400304114501
722505642665001245
oct2203730433171605
9342225110458781
1079434420646789
1123345a48670a7a
128aaab0a905a31
1335428313ab740
141588909cc9b25
1592b41185b144
hex483ec46cf385

79434420646789 has 32 divisors (see below), whose sum is σ = 90520239368160. Its totient is φ = 69209789755392.

The previous prime is 79434420646783. The next prime is 79434420646811. The reversal of 79434420646789 is 98764602443497.

It can be written as a sum of positive squares in 16 ways, for example, as 6506748993889 + 72927671652900 = 2550833^2 + 8539770^2 .

It is a de Polignac number, because none of the positive numbers 2k-79434420646789 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 (79434420646783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15236352 + ... + 19774105.

It is an arithmetic number, because the mean of its divisors is an integer number (2828757480255).

Almost surely, 279434420646789 is an apocalyptic number.

It is an amenable number.

79434420646789 is a deficient number, since it is larger than the sum of its proper divisors (11085818721371).

79434420646789 is a wasteful number, since it uses less digits than its factorization.

79434420646789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010649.

The product of its (nonzero) digits is 1755758592, while the sum is 73.

The spelling of 79434420646789 in words is "seventy-nine trillion, four hundred thirty-four billion, four hundred twenty million, six hundred forty-six thousand, seven hundred eighty-nine".

Divisors: 1 13 37 53 89 481 689 1157 1961 3293 4717 25493 42809 61321 174529 2268877 35010457 455135941 1295386909 1855554221 3115930673 16840029817 24122204873 40507098749 68655506177 115289434901 165144325669 892521580301 1498762653713 2146876233697 6110340049753 79434420646789