Search a number
-
+
86180817921 = 3112611539937
BaseRepresentation
bin101000001000011000…
…1101110110000000001
322020110002102011020020
41100100301232300001
52402444242133141
6103331350004053
76140432602632
oct1202061566001
9266402364206
1086180817921
1133604909070
1214851946629
1381857ccb23
1442579b5889
152395e22266
hex1410c6ec01

86180817921 has 8 divisors (see below), whose sum is σ = 125353917024. Its totient is φ = 52230798720.

The previous prime is 86180817913. The next prime is 86180817949. The reversal of 86180817921 is 12971808168.

It is a happy number.

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

It is not a de Polignac number, because 86180817921 - 23 = 86180817913 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (86180817971) 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 7 ways as a sum of consecutive naturals, for example, 1305769936 + ... + 1305770001.

It is an arithmetic number, because the mean of its divisors is an integer number (15669239628).

Almost surely, 286180817921 is an apocalyptic number.

It is an amenable number.

86180817921 is a deficient number, since it is larger than the sum of its proper divisors (39173099103).

86180817921 is a wasteful number, since it uses less digits than its factorization.

86180817921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611539951.

The product of its (nonzero) digits is 387072, while the sum is 51.

The spelling of 86180817921 in words is "eighty-six billion, one hundred eighty million, eight hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 3 11 33 2611539937 7834619811 28726939307 86180817921