Search a number
-
+
11324131002016 = 257193812608439
BaseRepresentation
bin1010010011001001101011…
…0011100100011010100000
31111002120120011022121201221
42210302122303210122200
52441013310014031031
640030122311504424
72246066344222360
oct244623263443240
944076504277657
1011324131002016
11367659a805188
12132a838688114
13641b26728881
142b213b4949a0
151498775d4a11
hexa4c9ace46a0

11324131002016 has 48 divisors (see below), whose sum is σ = 25480619176320. Its totient is φ = 4852946730240.

The previous prime is 11324131002007. The next prime is 11324131002029. The reversal of 11324131002016 is 61020013142311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3037125 + ... + 5645563.

It is an arithmetic number, because the mean of its divisors is an integer number (530846232840).

Almost surely, 211324131002016 is an apocalyptic number.

11324131002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11324131002016 is an abundant number, since it is smaller than the sum of its proper divisors (14156488174304).

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

11324131002016 is a wasteful number, since it uses less digits than its factorization.

11324131002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627837 (or 2627829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 11324131002016 its reverse (61020013142311), we get a palindrome (72344144144327).

The spelling of 11324131002016 in words is "eleven trillion, three hundred twenty-four billion, one hundred thirty-one million, two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 19381 38762 77524 135667 155048 271334 310096 542668 620192 1085336 2170672 2608439 4341344 5216878 10433756 18259073 20867512 36518146 41735024 73036292 83470048 146072584 292145168 584290336 50554156259 101108312518 202216625036 353879093813 404433250072 707758187626 808866500144 1415516375252 1617733000288 2831032750504 5662065501008 11324131002016