Search a number
-
+
86743881324051 = 3729712006149109
BaseRepresentation
bin10011101110010010100010…
…001110111001011000010011
3102101010122010020100012102020
4103232102202032321120103
542332202432104332201
6504253331114022523
724162016146424440
oct2356224216713023
9371118106305366
1086743881324051
1125703967665456
12988b666417a43
133952bb3880843
14175c5d79169c7
15a0661a092a36
hex4ee4a23b9613

86743881324051 has 32 divisors (see below), whose sum is σ = 138665026483200. Its totient is φ = 47184627020160.

The previous prime is 86743881324043. The next prime is 86743881324083. The reversal of 86743881324051 is 15042318834768.

It is not a de Polignac number, because 86743881324051 - 23 = 86743881324043 is a prime.

It is a super-3 number, since 3×867438813240513 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (86743881324251) 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 31 ways as a sum of consecutive naturals, for example, 1003031316 + ... + 1003117793.

It is an arithmetic number, because the mean of its divisors is an integer number (4333282077600).

Almost surely, 286743881324051 is an apocalyptic number.

86743881324051 is a deficient number, since it is larger than the sum of its proper divisors (51921145159149).

86743881324051 is a wasteful number, since it uses less digits than its factorization.

86743881324051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006149219.

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 86743881324051 in words is "eighty-six trillion, seven hundred forty-three billion, eight hundred eighty-one million, three hundred twenty-four thousand, fifty-one".

Divisors: 1 3 7 21 29 71 87 203 213 497 609 1491 2059 6177 14413 43239 2006149109 6018447327 14043043763 42129131289 58178324161 142436586739 174534972483 407248269127 427309760217 997056107173 1221744807381 2991168321519 4130661015431 12391983046293 28914627108017 86743881324051