Search a number
-
+
18469191324672 = 2103411223293189
BaseRepresentation
bin1000011001100001100011…
…00101101001010000000000
32102101122012200212111120000
410030300301211221100000
54410044400434342142
6103140343535320000
73614232530666304
oct414606145512000
972348180774500
1018469191324672
115980816014a00
1220a3552980000
13a3c83910583a
1447bcb0dddd04
1522065cdc514c
hex10cc31969400

18469191324672 has 2640 divisors, whose sum is σ = 68309300505600. Its totient is φ = 4945851187200.

The previous prime is 18469191324671. The next prime is 18469191324691. The reversal of 18469191324672 is 27642319196481.

18469191324672 is a `hidden beast` number, since 1 + 8 + 4 + 69 + 191 + 324 + 67 + 2 = 666.

It is a super-3 number, since 3×184691913246723 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18469191324671) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 207519003604 + ... + 207519003692.

It is an arithmetic number, because the mean of its divisors is an integer number (25874735040).

Almost surely, 218469191324672 is an apocalyptic number.

18469191324672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18469191324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34154650252800).

18469191324672 is an abundant number, since it is smaller than the sum of its proper divisors (49840109180928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18469191324672 is a wasteful number, since it uses less digits than its factorization.

18469191324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 18469191324672 in words is "eighteen trillion, four hundred sixty-nine billion, one hundred ninety-one million, three hundred twenty-four thousand, six hundred seventy-two".