Search a number
-
+
2566211116653 = 323164388716127
BaseRepresentation
bin100101010101111110000…
…110100001111001101101
3100002022211122221210020100
4211111332012201321231
5314021100021213103
65242522350141313
7353255050405062
oct45257606417155
910068748853210
102566211116653
118aa3623021a8
12355422ab1839
13157cb9b85282
148c2c340cc69
1546b4679e5a3
hex2557e1a1e6d

2566211116653 has 48 divisors (see below), whose sum is σ = 3836831072256. Its totient is φ = 1651079216160.

The previous prime is 2566211116633. The next prime is 2566211116661. The reversal of 2566211116653 is 3566111126652.

2566211116653 is a `hidden beast` number, since 2 + 5 + 6 + 621 + 1 + 1 + 16 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 2566211116653 - 229 = 2565674245741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2566211116599 and 2566211116608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566211116603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159117076 + ... + 159133202.

It is an arithmetic number, because the mean of its divisors is an integer number (79933980672).

Almost surely, 22566211116653 is an apocalyptic number.

It is an amenable number.

2566211116653 is a deficient number, since it is larger than the sum of its proper divisors (1270619955603).

2566211116653 is a wasteful number, since it uses less digits than its factorization.

2566211116653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17691 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

Subtracting 2566211116653 from its reverse (3566111126652), we obtain a palindrome (999900009999).

The spelling of 2566211116653 in words is "two trillion, five hundred sixty-six billion, two hundred eleven million, one hundred sixteen thousand, six hundred fifty-three".

Divisors: 1 3 9 31 93 279 643 887 1929 2661 5787 7983 16127 19933 27497 48381 59799 82491 145143 179397 247473 499937 570341 1499811 1711023 4499433 5133069 10369661 14304649 17680571 31108983 42913947 53041713 93326949 128741841 159125139 321459491 443444119 964378473 1330332357 2893135419 3990997071 9197889307 27593667921 82781003763 285134568517 855403705551 2566211116653