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11244304016 = 2411175963697
BaseRepresentation
bin10100111100011011…
…00111011010010000
31002000122010211100022
422132031213122100
5141012020212031
65055432243012
7545434002311
oct123615473220
932018124308
1011244304016
114850131040
122219840468
1310a272453a
14789506608
1545c24a97b
hex29e367690

11244304016 has 80 divisors (see below), whose sum is σ = 25591308480. Its totient is φ = 4728791040.

The previous prime is 11244304003. The next prime is 11244304031. The reversal of 11244304016 is 61040344211.

It is a happy number.

11244304016 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 15 ways as a sum of consecutive naturals, for example, 144680 + ... + 208376.

It is an arithmetic number, because the mean of its divisors is an integer number (319891356).

Almost surely, 211244304016 is an apocalyptic number.

11244304016 is a gapful number since it is divisible by the number (16) 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 11244304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795654240).

11244304016 is an abundant number, since it is smaller than the sum of its proper divisors (14347004464).

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

11244304016 is a wasteful number, since it uses less digits than its factorization.

11244304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63792 (or 63786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 11244304016 its reverse (61040344211), we get a palindrome (72284648227).

The spelling of 11244304016 in words is "eleven billion, two hundred forty-four million, three hundred four thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 118 136 176 187 236 272 374 472 649 748 944 1003 1298 1496 2006 2596 2992 4012 5192 8024 10384 11033 16048 22066 44132 63697 88264 127394 176528 254788 509576 700667 1019152 1082849 1401334 2165698 2802668 3758123 4331396 5605336 7516246 8662792 11210672 11911339 15032492 17325584 23822678 30064984 41339353 47645356 60129968 63888091 82678706 95290712 127776182 165357412 190581424 255552364 330714824 511104728 661429648 702769001 1022209456 1405538002 2811076004 5622152008 11244304016