Search a number
-
+
11233334556 = 2233292123677
BaseRepresentation
bin10100111011000111…
…10001010100011100
31001222212111112002000
422131203301110130
5141001213201211
65054401202300
7545241524343
oct123543612434
931885445060
1011233334556
114844a19574
122216030390
1310a0383632
14787c8cb5a
1545b2d0656
hex29d8f151c

11233334556 has 72 divisors (see below), whose sum is σ = 30162590640. Its totient is φ = 3615296832.

The previous prime is 11233334521. The next prime is 11233334587. The reversal of 11233334556 is 65543333211.

11233334556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11233334556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28990 + ... + 152666.

It is an arithmetic number, because the mean of its divisors is an integer number (418924870).

Almost surely, 211233334556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233334556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081295320).

11233334556 is an abundant number, since it is smaller than the sum of its proper divisors (18929256084).

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

11233334556 is a wasteful number, since it uses less digits than its factorization.

11233334556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123748 (or 123711 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 11233334556 its reverse (65543333211), we get a palindrome (76776667767).

The spelling of 11233334556 in words is "eleven billion, two hundred thirty-three million, three hundred thirty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 3132 3364 5046 7569 10092 15138 22707 30276 45414 90828 123677 247354 371031 494708 742062 1113093 1484124 2226186 3339279 3586633 4452372 6678558 7173266 10759899 13357116 14346532 21519798 32279697 43039596 64559394 96839091 104012357 129118788 193678182 208024714 312037071 387356364 416049428 624074142 936111213 1248148284 1872222426 2808333639 3744444852 5616667278 11233334556