Search a number
-
+
86137876100 = 2252861378761
BaseRepresentation
bin101000000111000110…
…1111010111010000100
322020100002121111010102
41100032031322322010
52402402244013400
6103323213343232
76136401603053
oct1201615727204
9266302544112
1086137876100
1133592649261
121483b497b18
138179946273
144251dd839a
15239228d9d5
hex140e37ae84

86137876100 has 18 divisors (see below), whose sum is σ = 186919191354. Its totient is φ = 34455150400.

The previous prime is 86137876063. The next prime is 86137876117. The reversal of 86137876100 is 167873168.

It can be written as a sum of positive squares in 3 ways, for example, as 2669956 + 86135206144 = 1634^2 + 293488^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 430689281 + ... + 430689480.

Almost surely, 286137876100 is an apocalyptic number.

It is an amenable number.

86137876100 is an abundant number, since it is smaller than the sum of its proper divisors (100781315254).

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

86137876100 is a wasteful number, since it uses less digits than its factorization.

86137876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861378775 (or 861378768 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 86137876100 in words is "eighty-six billion, one hundred thirty-seven million, eight hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 861378761 1722757522 3445515044 4306893805 8613787610 17227575220 21534469025 43068938050 86137876100