Search a number
-
+
83418406836 = 223173311235389
BaseRepresentation
bin100110110110000011…
…1111101111110110100
321222022120110010121120
41031230013331332310
52331320103004321
6102153305543540
76012120521202
oct1155407757664
9258276403546
1083418406836
11324175747a6
12142007a4bb0
137b35403b5b
144074b78072
15228365eec6
hex136c1fdfb4

83418406836 has 48 divisors (see below), whose sum is σ = 206715337920. Its totient is φ = 26091394560.

The previous prime is 83418406811. The next prime is 83418406837. The reversal of 83418406836 is 63860481438.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83418406837) 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 15 ways as a sum of consecutive naturals, for example, 550171 + ... + 685218.

It is an arithmetic number, because the mean of its divisors is an integer number (4306569540).

Almost surely, 283418406836 is an apocalyptic number.

It is an amenable number.

83418406836 is an abundant number, since it is smaller than the sum of its proper divisors (123296931084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83418406836 is a wasteful number, since it uses less digits than its factorization.

83418406836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235744 (or 1235742 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 83418406836 in words is "eighty-three billion, four hundred eighteen million, four hundred six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 331 662 993 1324 1986 3972 5627 11254 16881 22508 33762 67524 1235389 2470778 3706167 4941556 7412334 14824668 21001613 42003226 63004839 84006452 126009678 252019356 408913759 817827518 1226741277 1635655036 2453482554 4906965108 6951533903 13903067806 20854601709 27806135612 41709203418 83418406836