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11322827516 = 22711135994721
BaseRepresentation
bin10101000101110010…
…01010001011111100
31002020002220020100002
422202321022023330
5141142120440031
65111315253432
7550406305640
oct124271121374
932202806302
1011322827516
1148904939a0
12223bbaa278
1310b5a88850
14795b06c20
154640abccb
hex2a2e4a2fc

11322827516 has 96 divisors (see below), whose sum is σ = 26654745600. Its totient is φ = 4064486400.

The previous prime is 11322827489. The next prime is 11322827539. The reversal of 11322827516 is 61572822311.

11322827516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11322827516.

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 31 ways as a sum of consecutive naturals, for example, 2396036 + ... + 2400756.

It is an arithmetic number, because the mean of its divisors is an integer number (277653600).

Almost surely, 211322827516 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 11322827516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327372800).

11322827516 is an abundant number, since it is smaller than the sum of its proper divisors (15331918084).

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

11322827516 is a wasteful number, since it uses less digits than its factorization.

11322827516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5353 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

It can be divided in two parts, 11322 and 827516, that added together give a palindrome (838838).

The spelling of 11322827516 in words is "eleven billion, three hundred twenty-two million, eight hundred twenty-seven thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 599 1001 1198 2002 2396 4004 4193 4721 6589 7787 8386 9442 13178 15574 16772 18884 26356 31148 33047 46123 51931 54509 61373 66094 85657 92246 103862 109018 122746 132188 171314 184492 207724 218036 245492 342628 363517 429611 599599 675103 727034 859222 1199198 1350206 1454068 1718444 2398396 2700412 2827879 4725721 5655758 9451442 11311516 18902884 19795153 31106669 36762427 39590306 62213338 73524854 79180612 124426676 147049708 217746683 257336989 404386697 435493366 514673978 808773394 870986732 1029347956 1617546788 2830706879 5661413758 11322827516