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11453768556 = 22319499100673
BaseRepresentation
bin10101010101011001…
…01010001101101100
31002120020021201200020
422222230222031230
5141424131043211
65132314002140
7553556266146
oct125254521554
932506251606
1011453768556
11494839892a
122277a16350
131106c43759
147a926dc96
15470824306
hex2aab2a36c

11453768556 has 48 divisors (see below), whose sum is σ = 28188720000. Its totient is φ = 3609695232.

The previous prime is 11453768533. The next prime is 11453768591. The reversal of 11453768556 is 65586735411.

11453768556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11453768499 and 11453768508.

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 15 ways as a sum of consecutive naturals, for example, 63436 + ... + 164108.

It is an arithmetic number, because the mean of its divisors is an integer number (587265000).

Almost surely, 211453768556 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 11453768556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094360000).

11453768556 is an abundant number, since it is smaller than the sum of its proper divisors (16734951444).

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

11453768556 is a wasteful number, since it uses less digits than its factorization.

11453768556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101198 (or 101196 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The spelling of 11453768556 in words is "eleven billion, four hundred fifty-three million, seven hundred sixty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 499 998 1497 1996 2994 5988 9481 18962 28443 37924 56886 100673 113772 201346 302019 402692 604038 1208076 1912787 3825574 5738361 7651148 11476722 22953444 50235827 100471654 150707481 200943308 301414962 602829924 954480713 1908961426 2863442139 3817922852 5726884278 11453768556