Search a number
-
+
219186540138069 = 3273479151430763
BaseRepresentation
bin110001110101100101010111…
…110111010100111001010101
31001202002000202211211222210200
4301311211113313110321111
5212212123013233404234
62054100523443411113
764111463536524420
oct6165452767247125
91052060684758720
10219186540138069
11639265427aa159
12206bb9a0983a99
13953c281b83aba
143c1a9840869b7
151a51829145d99
hexc75957dd4e55

219186540138069 has 12 divisors (see below), whose sum is σ = 361831748799456. Its totient is φ = 125249451507432.

The previous prime is 219186540138067. The next prime is 219186540138091. The reversal of 219186540138069 is 960831045681912.

219186540138069 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 8 + 6 + 540 + 1 + 3 + 80 + 6 + 9 = 666.

It is not a de Polignac number, because 219186540138069 - 21 = 219186540138067 is a prime.

It is a super-3 number, since 3×2191865401380693 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 3479151430763 = 219186540138069 / (2 + 1 + 9 + 1 + 8 + 6 + 5 + 4 + 0 + 1 + 3 + 8 + 0 + 6 + 9).

It is a junction number, because it is equal to n+sod(n) for n = 219186540137997 and 219186540138015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219186540138067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1739575715319 + ... + 1739575715444.

It is an arithmetic number, because the mean of its divisors is an integer number (30152645733288).

Almost surely, 2219186540138069 is an apocalyptic number.

It is an amenable number.

219186540138069 is a deficient number, since it is larger than the sum of its proper divisors (142645208661387).

219186540138069 is a wasteful number, since it uses less digits than its factorization.

219186540138069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479151430776 (or 3479151430773 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 219186540138069 in words is "two hundred nineteen trillion, one hundred eighty-six billion, five hundred forty million, one hundred thirty-eight thousand, sixty-nine".

Divisors: 1 3 7 9 21 63 3479151430763 10437454292289 24354060015341 31312362876867 73062180046023 219186540138069