Search a number
-
+
116742143621637 = 3244928889419357
BaseRepresentation
bin11010100010110100100110…
…000000000011101000000101
3120022100102212201020112022200
4122202310212000003220011
5110300200402231343022
61052142333404145113
733406225101653112
oct3242644600035005
9508312781215280
10116742143621637
113421a079681a06
12111154ab838199
13501a976ca26c1
1420b84c81a5909
15d76ae751bbac
hex6a2d26003a05

116742143621637 has 12 divisors (see below), whose sum is σ = 169003103244300. Its totient is φ = 77654759228928.

The previous prime is 116742143621599. The next prime is 116742143621641. The reversal of 116742143621637 is 736126341247611.

116742143621637 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 4 + 2 + 1 + 4 + 3 + 621 + 6 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22579166076516 + 94162977545121 = 4751754^2 + 9703761^2 .

It is not a de Polignac number, because 116742143621637 - 226 = 116742076512773 is a prime.

It is a super-2 number, since 2×1167421436216372 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116742143621647) 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 11 ways as a sum of consecutive naturals, for example, 14444705638 + ... + 14444713719.

It is an arithmetic number, because the mean of its divisors is an integer number (14083591937025).

Almost surely, 2116742143621637 is an apocalyptic number.

It is an amenable number.

116742143621637 is a deficient number, since it is larger than the sum of its proper divisors (52260959622663).

116742143621637 is a wasteful number, since it uses less digits than its factorization.

116742143621637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28889419812 (or 28889419809 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 116742143621637 in words is "one hundred sixteen trillion, seven hundred forty-two billion, one hundred forty-three million, six hundred twenty-one thousand, six hundred thirty-seven".

Divisors: 1 3 9 449 1347 4041 28889419357 86668258071 260004774213 12971349291293 38914047873879 116742143621637