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78112543041 = 32131739272269
BaseRepresentation
bin100100010111111011…
…1101101000101000001
321110121210112022210200
41020233313231011001
52234433302334131
655515010515413
75433462442431
oct1105767550501
9243553468720
1078112543041
11301445487a5
121317b895b69
13749b0a3490
143ad02182c1
15207293c2e6
hex122fded141

78112543041 has 24 divisors (see below), whose sum is σ = 128655956520. Its totient is φ = 45241652736.

The previous prime is 78112543039. The next prime is 78112543079. The reversal of 78112543041 is 14034521187.

78112543041 is a `hidden beast` number, since 78 + 1 + 1 + 2 + 543 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27882320400 + 50230222641 = 166980^2 + 224121^2 .

It is not a de Polignac number, because 78112543041 - 21 = 78112543039 is a prime.

It is a super-2 number, since 2×781125430412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78112542987 and 78112543005.

It is not an unprimeable number, because it can be changed into a prime (78112543241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19634146 + ... + 19638123.

It is an arithmetic number, because the mean of its divisors is an integer number (5360664855).

Almost surely, 278112543041 is an apocalyptic number.

It is an amenable number.

78112543041 is a deficient number, since it is larger than the sum of its proper divisors (50543413479).

78112543041 is a wasteful number, since it uses less digits than its factorization.

78112543041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39272305 (or 39272302 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 78112543041 in words is "seventy-eight billion, one hundred twelve million, five hundred forty-three thousand, forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 39272269 117816807 353450421 510539497 667628573 1531618491 2002885719 4594855473 6008657157 8679171449 26037514347 78112543041