Search a number
-
+
11021330466456 = 2334007764914983
BaseRepresentation
bin1010000001100001101001…
…1111001100011010011000
31110000121222110200122102120
42200120122133030122120
52421033141044411311
635235043533301240
72215156562151222
oct240303237143230
943017873618376
1011021330466456
11356a1357a5092
1212a0011334820
1361c3cb64303b
142a161442d412
15141a54132706
hexa061a7cc698

11021330466456 has 64 divisors (see below), whose sum is σ = 27565645248000. Its totient is φ = 3672134704128.

The previous prime is 11021330466413. The next prime is 11021330466457. The reversal of 11021330466456 is 65466403312011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021330466457) 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 15 ways as a sum of consecutive naturals, for example, 735581541 + ... + 735596523.

It is an arithmetic number, because the mean of its divisors is an integer number (430713207000).

Almost surely, 211021330466456 is an apocalyptic number.

It is an amenable number.

11021330466456 is an abundant number, since it is smaller than the sum of its proper divisors (16544314781544).

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

11021330466456 is a wasteful number, since it uses less digits than its factorization.

11021330466456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26648 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 11021330466456 its reverse (65466403312011), we get a palindrome (76487733778467).

The spelling of 11021330466456 in words is "eleven trillion, twenty-one billion, three hundred thirty million, four hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 4007 7649 8014 12021 14983 15298 16028 22947 24042 29966 30596 32056 44949 45894 48084 59932 61192 89898 91788 96168 119864 179796 183576 359592 30649543 60036881 61299086 91948629 114604967 120073762 122598172 180110643 183897258 229209934 240147524 245196344 343814901 360221286 367794516 458419868 480295048 687629802 720442572 735589032 916839736 1375259604 1440885144 2750519208 459222102769 918444205538 1377666308307 1836888411076 2755332616614 3673776822152 5510665233228 11021330466456