Search a number
-
+
12381063946191 = 351812111334107
BaseRepresentation
bin1011010000101011000011…
…1010110001111111001111
31121211121200122010021100000
42310022300322301333033
53110322404332234231
642155440544535343
72415334210061403
oct264126072617717
947747618107300
1012381063946191
113a43863907756
12147b649321553
136ba6b5bbc655
1430b364cd1103
151670d71b16e6
hexb42b0eb1fcf

12381063946191 has 48 divisors (see below), whose sum is σ = 18736981198208. Its totient is φ = 8169531501600.

The previous prime is 12381063946091. The next prime is 12381063946217. The reversal of 12381063946191 is 19164936018321.

12381063946191 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 10 + 6 + 3 + 9 + 4 + 619 + 1 = 666.

It is not a de Polignac number, because 12381063946191 - 213 = 12381063937999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12381063946091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8613360 + ... + 9947466.

Almost surely, 212381063946191 is an apocalyptic number.

12381063946191 is a deficient number, since it is larger than the sum of its proper divisors (6355917252017).

12381063946191 is a wasteful number, since it uses less digits than its factorization.

12381063946191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334514 (or 1334502 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12381063946191 in words is "twelve trillion, three hundred eighty-one billion, sixty-three million, nine hundred forty-six thousand, one hundred ninety-one".

Divisors: 1 3 9 27 81 181 211 243 543 633 1629 1899 4887 5697 14661 17091 38191 43983 51273 114573 343719 1031157 1334107 3093471 4002321 9280413 12006963 36020889 108062667 241473367 281496577 324188001 724420101 844489731 2173260303 2533469193 6519780909 7600407579 19559342727 22801222737 50950880437 58678028181 68403668211 152852641311 458557923933 1375673771799 4127021315397 12381063946191