Search a number
-
+
189151131144789 = 33111971472107113
BaseRepresentation
bin101011000000100000101101…
…111110110001001001010101
3220210201200010112220000002000
4223000200231332301021111
5144243023004033113124
61510142455142505513
754561501234502512
oct5300405576611125
9823650115800060
10189151131144789
11552a65a940a3a0
121926a90b135299
138170b4b881028
14349cd6c168309
1516d03c594d6c9
hexac082dfb1255

189151131144789 has 64 divisors (see below), whose sum is σ = 326320437196800. Its totient is φ = 107073893001600.

The previous prime is 189151131144683. The next prime is 189151131144889. The reversal of 189151131144789 is 987441131151981.

189151131144789 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 51 + 131 + 1 + 447 + 8 + 9 = 666.

It is not a de Polignac number, because 189151131144789 - 217 = 189151131013717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189151131144889) 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, 235652904 + ... + 236454209.

It is an arithmetic number, because the mean of its divisors is an integer number (5098756831200).

Almost surely, 2189151131144789 is an apocalyptic number.

189151131144789 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

189151131144789 is a deficient number, since it is larger than the sum of its proper divisors (137169306052011).

189151131144789 is a wasteful number, since it uses less digits than its factorization.

189151131144789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472107223 (or 472107217 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 63.

The spelling of 189151131144789 in words is "one hundred eighty-nine trillion, one hundred fifty-one billion, one hundred thirty-one million, one hundred forty-four thousand, seven hundred eighty-nine".

Divisors: 1 3 9 11 19 27 33 57 71 99 171 209 213 297 513 627 639 781 1349 1881 1917 2343 4047 5643 7029 12141 14839 21087 36423 44517 133551 400653 472107113 1416321339 4248964017 5193178243 8970035147 12746892051 15579534729 26910105441 33519605023 46738604187 80730316323 98670386617 100558815069 140215812561 242190948969 296011159851 301676445207 368715655253 636872495437 888033479553 905029335621 1106146965759 1910617486311 2664100438659 3318440897277 5731852458933 7005597449807 9955322691831 17195557376799 21016792349421 63050377048263 189151131144789