Search a number
-
+
81672826601 = 4189113198073
BaseRepresentation
bin100110000010000010…
…1000110111011101001
321210210220211110200202
41030010011012323221
52314231220422401
6101304152041545
75620633400042
oct1140405067351
9253726743622
1081672826601
11317011aa503
12139b40932b5
137917888b42
143d4adc98c9
1521d02a606b
hex1304146ee9

81672826601 has 16 divisors (see below), whose sum is σ = 85354048080. Its totient is φ = 78087905280.

The previous prime is 81672826577. The next prime is 81672826607. The reversal of 81672826601 is 10662827618.

It can be written as a sum of positive squares in 8 ways, for example, as 27895680400 + 53777146201 = 167020^2 + 231899^2 .

It is a cyclic number.

It is not a de Polignac number, because 81672826601 - 214 = 81672810217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81672826607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313301 + ... + 511373.

It is an arithmetic number, because the mean of its divisors is an integer number (5334628005).

Almost surely, 281672826601 is an apocalyptic number.

It is an amenable number.

81672826601 is a deficient number, since it is larger than the sum of its proper divisors (3681221479).

81672826601 is a wasteful number, since it uses less digits than its factorization.

81672826601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198316.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 81672826601 in words is "eighty-one billion, six hundred seventy-two million, eight hundred twenty-six thousand, six hundred one".

Divisors: 1 41 89 113 3649 4633 10057 198073 412337 8120993 17628497 22382249 722768377 917672209 1992020161 81672826601