Search a number
-
+
81463826115 = 3357233369979
BaseRepresentation
bin100101111011110011…
…1110101011011000011
321210021100120010221000
41023313213311123003
52313314214413430
6101231324303043
75612515045140
oct1136747653303
9253240503830
1081463826115
113160422a331
12139560a1a83
1378b349cc09
143d2b3433c7
1521bbc6ee60
hex12f79f56c3

81463826115 has 64 divisors (see below), whose sum is σ = 166224614400. Its totient is φ = 37080675072.

The previous prime is 81463826089. The next prime is 81463826183. The reversal of 81463826115 is 51162836418.

81463826115 is a `hidden beast` number, since 8 + 1 + 4 + 638 + 2 + 6 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 81463826115 - 213 = 81463817923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35196 + ... + 405174.

It is an arithmetic number, because the mean of its divisors is an integer number (2597259600).

Almost surely, 281463826115 is an apocalyptic number.

81463826115 is an abundant number, since it is smaller than the sum of its proper divisors (84760788285).

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

81463826115 is a wasteful number, since it uses less digits than its factorization.

81463826115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370233 (or 370227 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 81463826115 in words is "eighty-one billion, four hundred sixty-three million, eight hundred twenty-six thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 233 315 699 945 1165 1631 2097 3495 4893 6291 8155 10485 14679 24465 31455 44037 73395 220185 369979 1109937 1849895 2589853 3329811 5549685 7769559 9989433 12949265 16649055 23308677 38847795 49947165 69926031 86205107 116543385 258615321 349630155 431025535 603435749 775845963 1293076605 1810307247 2327537889 3017178745 3879229815 5430921741 9051536235 11637689445 16292765223 27154608705 81463826115