Search a number
-
+
11085885616 = 2413193178849
BaseRepresentation
bin10100101001100010…
…10011000010110000
31001121121001100011011
422110301103002300
5140200441314431
65032013000304
7541501321141
oct122461230260
931547040134
1011085885616
114779769a43
122194783094
131078968940
14772469ac8
1544d3a6cb1
hex294c530b0

11085885616 has 80 divisors (see below), whose sum is σ = 24428124000. Its totient is φ = 4831432704.

The previous prime is 11085885583. The next prime is 11085885619. The reversal of 11085885616 is 61658858011.

It is a self number, because there is not a number n which added to its sum of digits gives 11085885616.

It is not an unprimeable number, because it can be changed into a prime (11085885619) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1248360 + ... + 1257208.

It is an arithmetic number, because the mean of its divisors is an integer number (305351550).

Almost surely, 211085885616 is an apocalyptic number.

11085885616 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 11085885616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214062000).

11085885616 is an abundant number, since it is smaller than the sum of its proper divisors (13342238384).

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

11085885616 is a wasteful number, since it uses less digits than its factorization.

11085885616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 49.

The spelling of 11085885616 in words is "eleven billion, eighty-five million, eight hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 317 494 634 988 1268 1976 2536 3952 4121 5072 6023 8242 8849 12046 16484 17698 24092 32968 35396 48184 65936 70792 78299 96368 115037 141584 156598 168131 230074 313196 336262 460148 626392 672524 920296 1252784 1345048 1840592 2185703 2690096 2805133 4371406 5610266 8742812 11220532 17485624 22441064 34971248 36466729 44882128 53297527 72933458 106595054 145866916 213190108 291733832 426380216 583467664 692867851 852760432 1385735702 2771471404 5542942808 11085885616