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83383688141 = 1337173354861
BaseRepresentation
bin100110110101000001…
…1100001101111001101
321222020011010020111222
41031222003201233031
52331232211010031
6102150025453125
76011216440415
oct1155203415715
9258204106458
1083383688141
11323a9a11066
12141b10411a5
137b2b169150
1440702db645
1522805a2e7b
hex136a0e1bcd

83383688141 has 8 divisors (see below), whose sum is σ = 92224786584. Its totient is φ = 74889299520.

The previous prime is 83383688137. The next prime is 83383688149. The reversal of 83383688141 is 14188638338.

It can be written as a sum of positive squares in 4 ways, for example, as 43151752900 + 40231935241 = 207730^2 + 200579^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83383688141 - 22 = 83383688137 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 (83383688149) 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 7 ways as a sum of consecutive naturals, for example, 86676950 + ... + 86677911.

It is an arithmetic number, because the mean of its divisors is an integer number (11528098323).

Almost surely, 283383688141 is an apocalyptic number.

It is an amenable number.

83383688141 is a deficient number, since it is larger than the sum of its proper divisors (8841098443).

83383688141 is a wasteful number, since it uses less digits than its factorization.

83383688141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173354911.

The product of its digits is 2654208, while the sum is 53.

The spelling of 83383688141 in words is "eighty-three billion, three hundred eighty-three million, six hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 13 37 481 173354861 2253613193 6414129857 83383688141