Search a number
-
+
85938521116 = 22728113278231
BaseRepresentation
bin101000000001001010…
…1011100010000011100
322012211012111012111111
41100002111130100130
52402000230133431
6103251332431404
76131431243150
oct1200225342034
9265735435444
1085938521116
11334a0066978
12147a4778564
138147556736
144233743060
15237ea107b1
hex140255c41c

85938521116 has 48 divisors (see below), whose sum is σ = 172639660032. Its totient is φ = 36667612800.

The previous prime is 85938521113. The next prime is 85938521153. The reversal of 85938521116 is 61112583958.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85938521116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85938521113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10436721 + ... + 10444951.

It is an arithmetic number, because the mean of its divisors is an integer number (3596659584).

Almost surely, 285938521116 is an apocalyptic number.

It is an amenable number.

85938521116 is an abundant number, since it is smaller than the sum of its proper divisors (86701138916).

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

85938521116 is a wasteful number, since it uses less digits than its factorization.

85938521116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9848 counting only the distinct ones).

The product of its digits is 518400, while the sum is 49.

The spelling of 85938521116 in words is "eighty-five billion, nine hundred thirty-eight million, five hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 281 562 1124 1327 1967 2654 3934 5308 7868 8231 9289 16462 18578 32924 37156 57617 115234 230468 372887 745774 1491548 2312911 2610209 4625822 5220418 9251644 10440836 10922537 16190377 21845074 32380754 43690148 64761508 76457759 152915518 305831036 3069232897 6138465794 12276931588 21484630279 42969260558 85938521116