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11054345304 = 2333157126021
BaseRepresentation
bin10100100101110001…
…11110110001011000
31001112101200220222110
422102320332301120
5140114403022204
65024524552320
7540636245652
oct122270766130
931471626873
1011054345304
114762987272
1221860b26a0
131072274832
1476c1b96d2
1544a726889
hex292e3ec58

11054345304 has 64 divisors (see below), whose sum is σ = 28578401280. Its totient is φ = 3559536000.

The previous prime is 11054345249. The next prime is 11054345317. The reversal of 11054345304 is 40354345011.

11054345304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 411814 + ... + 437834.

It is an arithmetic number, because the mean of its divisors is an integer number (446537520).

Almost surely, 211054345304 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 11054345304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289200640).

11054345304 is an abundant number, since it is smaller than the sum of its proper divisors (17524055976).

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

11054345304 is a wasteful number, since it uses less digits than its factorization.

11054345304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26632 (or 26628 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 11054345304 in words is "eleven billion, fifty-four million, three hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 571 744 1142 1713 2284 3426 4568 6852 13704 17701 26021 35402 52042 53103 70804 78063 104084 106206 141608 156126 208168 212412 312252 424824 624504 806651 1613302 2419953 3226604 4839906 6453208 9679812 14857991 19359624 29715982 44573973 59431964 89147946 118863928 178295892 356591784 460597721 921195442 1381793163 1842390884 2763586326 3684781768 5527172652 11054345304