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11264426700 = 2235261361253
BaseRepresentation
bin10100111110110100…
…11000001011001100
31002002001000011110220
422133122120023030
5141032143123300
65101431431340
7546100022112
oct123732301314
932061004426
1011264426700
11486052555a
122224525550
1310a694b757
1478c063ab2
1545ddc2da0
hex29f6982cc

11264426700 has 72 divisors (see below), whose sum is σ = 32645441808. Its totient is φ = 2998897920.

The previous prime is 11264426653. The next prime is 11264426731. The reversal of 11264426700 is 762446211.

11264426700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 153274 + ... + 214526.

It is an arithmetic number, because the mean of its divisors is an integer number (453408914).

Almost surely, 211264426700 is an apocalyptic number.

11264426700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264426700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322720904).

11264426700 is an abundant number, since it is smaller than the sum of its proper divisors (21381015108).

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

11264426700 is a wasteful number, since it uses less digits than its factorization.

11264426700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61883 (or 61876 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 11264426700 in words is "eleven billion, two hundred sixty-four million, four hundred twenty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 613 1226 1839 2452 3065 3678 6130 7356 9195 12260 15325 18390 30650 36780 45975 61253 61300 91950 122506 183759 183900 245012 306265 367518 612530 735036 918795 1225060 1531325 1837590 3062650 3675180 4593975 6125300 9187950 18375900 37548089 75096178 112644267 150192356 187740445 225288534 375480890 450577068 563221335 750961780 938702225 1126442670 1877404450 2252885340 2816106675 3754808900 5632213350 11264426700