Search a number
-
+
199697989796991 = 3376534517358219
BaseRepresentation
bin101101011001111111001111…
…101111101000010001111111
3222012001221102021011010201000
4231121333033233220101333
5202133322440342000431
61544415553502421343
760030463231044030
oct5531771757502177
9865057367133630
10199697989796991
11586a2495140854
121a492984891853
138757593b52b4a
14374561192ca87
15181490a1a49e6
hexb59fcfbe847f

199697989796991 has 64 divisors (see below), whose sum is σ = 338706696268800. Its totient is φ = 113912842555008.

The previous prime is 199697989796939. The next prime is 199697989796999.

199697989796991 is a `hidden beast` number, since 199 + 6 + 97 + 98 + 97 + 9 + 69 + 91 = 666.

199697989796991 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 199697989796991 - 230 = 199696916055167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199697989796999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557295480 + ... + 557653698.

It is an arithmetic number, because the mean of its divisors is an integer number (5292292129200).

Almost surely, 2199697989796991 is an apocalyptic number.

199697989796991 is a deficient number, since it is larger than the sum of its proper divisors (139008706471809).

199697989796991 is a wasteful number, since it uses less digits than its factorization.

199697989796991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363405 (or 363399 counting only the distinct ones).

The product of its digits is 607475326752, while the sum is 108.

The spelling of 199697989796991 in words is "one hundred ninety-nine trillion, six hundred ninety-seven billion, nine hundred eighty-nine million, seven hundred ninety-six thousand, nine hundred ninety-one".

Divisors: 1 3 7 9 21 27 63 189 653 1959 4517 4571 5877 13551 13713 17631 31619 40653 41139 94857 121959 123417 284571 358219 853713 1074657 2507533 2949601 3223971 7522599 8848803 9671913 20647207 22567797 26546409 61941621 67703391 79639227 185824863 233917007 557474589 701751021 1618075223 1637419049 2105253063 4854225669 4912257147 6315759189 11326526561 14562677007 14736771441 33979579683 43688031021 44210314323 101938739049 305816217147 1056603120619 3169809361857 7396221844333 9509428085571 22188665532999 28528284256713 66565996598997 199697989796991