Search a number
-
+
12054153546 = 23219227155269
BaseRepresentation
bin10110011100111101…
…11100100101001010
31011010002000110001100
423032132330211022
5144141330403141
65312042202230
7604466420541
oct131636744512
934102013040
1012054153546
115126289a76
122404ab3376
1311a1445646
14824cb7158
154a83bb0b6
hex2ce7bc94a

12054153546 has 48 divisors (see below), whose sum is σ = 27613216800. Its totient is φ = 3789781344.

The previous prime is 12054153539. The next prime is 12054153547. The reversal of 12054153546 is 64535145021.

12054153546 is a `hidden beast` number, since 1 + 20 + 5 + 41 + 53 + 546 = 666.

12054153546 is a nontrivial binomial coefficient, being equal to C(155269, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 12054153546.

It is not an unprimeable number, because it can be changed into a prime (12054153547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 155268.

It is an arithmetic number, because the mean of its divisors is an integer number (575275350).

Almost surely, 212054153546 is an apocalyptic number.

12054153546 is the 155268-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054153546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806608400).

12054153546 is an abundant number, since it is smaller than the sum of its proper divisors (15559063254).

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

12054153546 is a wasteful number, since it uses less digits than its factorization.

12054153546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155523 (or 155520 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12054153546 its reverse (64535145021), we get a palindrome (76589298567).

It can be divided in two parts, 12054 and 153546, that added together give a triangular number (165600 = T575).

The spelling of 12054153546 in words is "twelve billion, fifty-four million, one hundred fifty-three thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 227 342 454 681 1362 2043 4086 4313 8626 12939 25878 38817 77634 155269 310538 465807 931614 1397421 2794842 2950111 5900222 8850333 17700666 26550999 35246063 53101998 70492126 105738189 211476378 317214567 634429134 669675197 1339350394 2009025591 4018051182 6027076773 12054153546