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11036225312 = 25743792
BaseRepresentation
bin10100100011100111…
…10110111100100000
31001111010121100000122
422101303312330200
5140100233202222
65023040335412
7540326240000
oct122163667440
931433540018
1011036225312
114753730472
122180014568
13106b59c048
14769a20000
15448d47a42
hex291cf6f20

11036225312 has 90 divisors (see below), whose sum is σ = 25414377723. Its totient is φ = 4717331136.

The previous prime is 11036225311. The next prime is 11036225323. The reversal of 11036225312 is 21352263011.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11036225312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5518112656 + 5518112656 = 74284^2 + 74284^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74284.

It is not an unprimeable number, because it can be changed into a prime (11036225311) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 29119139 + ... + 29119517.

Almost surely, 211036225312 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 11036225312

11036225312 is an abundant number, since it is smaller than the sum of its proper divisors (14378152411).

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

11036225312 is an frugal number, since it uses more digits than its factorization.

11036225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 11036225312 its reverse (21352263011), we get a palindrome (32388488323).

The spelling of 11036225312 in words is "eleven billion, thirty-six million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 379 392 686 758 784 1372 1516 1568 2401 2653 2744 3032 4802 5306 5488 6064 9604 10612 10976 12128 18571 19208 21224 37142 38416 42448 74284 76832 84896 129997 143641 148568 259994 287282 297136 519988 574564 594272 909979 1005487 1039976 1149128 1819958 2010974 2079952 2298256 3639916 4021948 4159904 4596512 7038409 7279832 8043896 14076818 14559664 16087792 28153636 29119328 32175584 49268863 56307272 98537726 112614544 197075452 225229088 344882041 394150904 689764082 788301808 1379528164 1576603616 2759056328 5518112656 11036225312