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11984881068 = 22331716094057
BaseRepresentation
bin10110010100101101…
…01100010110101100
31010221020200001002000
423022112230112230
5144021112143233
65301125332300
7602665544136
oct131226542654
933836601060
1011984881068
1150a0175596
1223a5867090
13118cca0004
14819a04056
154a2285d13
hex2ca5ac5ac

11984881068 has 96 divisors (see below), whose sum is σ = 32928235200. Its totient is φ = 3756699648.

The previous prime is 11984881063. The next prime is 11984881081. The reversal of 11984881068 is 86018848911.

It is a happy number.

11984881068 is a `hidden beast` number, since 1 + 1 + 98 + 488 + 10 + 68 = 666.

11984881068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11984881063) 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 31 ways as a sum of consecutive naturals, for example, 2952096 + ... + 2956152.

It is an arithmetic number, because the mean of its divisors is an integer number (343002450).

Almost surely, 211984881068 is an apocalyptic number.

11984881068 is a gapful number since it is divisible by the number (18) 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 11984881068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464117600).

11984881068 is an abundant number, since it is smaller than the sum of its proper divisors (20943354132).

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

11984881068 is a wasteful number, since it uses less digits than its factorization.

11984881068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 11984881068 in words is "eleven billion, nine hundred eighty-four million, eight hundred eighty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1609 1836 3218 4057 4827 6436 8114 9654 12171 14481 16228 19308 24342 27353 28962 36513 43443 48684 54706 57924 68969 73026 82059 86886 109412 109539 137938 146052 164118 173772 206907 219078 246177 275876 328236 413814 438156 492354 620721 738531 827628 984708 1241442 1477062 1862163 2482884 2954124 3724326 6527713 7448652 13055426 19583139 26110852 39166278 58749417 78332556 110971121 117498834 176248251 221942242 234997668 332913363 352496502 443884484 665826726 704993004 998740089 1331653452 1997480178 2996220267 3994960356 5992440534 11984881068