Search a number
-
+
11869062656 = 29114744839
BaseRepresentation
bin10110000110111001…
…11000011000000000
31010122011201212002012
423003130320120000
5143301440001111
65241431112052
7600061240133
oct130334703000
933564655065
1011869062656
11504085a4a0
122372b12628
131171cab4c9
1480849621a
1549700948b
hex2c3738600

11869062656 has 80 divisors (see below), whose sum is σ = 26421880320. Its totient is φ = 5280122880.

The previous prime is 11869062643. The next prime is 11869062661. The reversal of 11869062656 is 65626096811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242285 + ... + 287123.

It is an arithmetic number, because the mean of its divisors is an integer number (330273504).

Almost surely, 211869062656 is an apocalyptic number.

11869062656 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 11869062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210940160).

11869062656 is an abundant number, since it is smaller than the sum of its proper divisors (14552817664).

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

11869062656 is an equidigital number, since it uses as much as digits as its factorization.

11869062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44915 (or 44899 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 11869062656 in words is "eleven billion, eight hundred sixty-nine million, sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1034 1408 1504 2068 2816 3008 4136 5632 6016 8272 12032 16544 24064 33088 44839 66176 89678 132352 179356 264704 358712 493229 717424 986458 1434848 1972916 2107433 2869696 3945832 4214866 5739392 7891664 8429732 11478784 15783328 16859464 22957568 23181763 31566656 33718928 46363526 63133312 67437856 92727052 126266624 134875712 185454104 252533248 269751424 370908208 539502848 741816416 1079005696 1483632832 2967265664 5934531328 11869062656