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11334660012 = 223213124919391
BaseRepresentation
bin10101000111001100…
…10010111110101100
31002020221011101110200
422203212102332230
5141203133110022
65112421033500
7550612010004
oct124346227654
932227141420
1011334660012
114897135915
122243b55890
1310b836c520
14797507004
15465147bac
hex2a3992fac

11334660012 has 72 divisors (see below), whose sum is σ = 30881760000. Its totient is φ = 3484615680.

The previous prime is 11334659989. The next prime is 11334660041. The reversal of 11334660012 is 21006643311.

11334660012 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 46 + 600 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574837 + ... + 594227.

Almost surely, 211334660012 is an apocalyptic number.

11334660012 is a gapful number since it is divisible by the number (12) 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 11334660012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440880000).

11334660012 is an abundant number, since it is smaller than the sum of its proper divisors (19547099988).

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

11334660012 is a wasteful number, since it uses less digits than its factorization.

11334660012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20663 (or 20658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11334660012 in words is "eleven billion, three hundred thirty-four million, six hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1249 2498 3747 4996 7494 11241 14988 16237 19391 22482 32474 38782 44964 48711 58173 64948 77564 97422 116346 146133 174519 194844 232692 252083 292266 349038 504166 584532 698076 756249 1008332 1512498 2268747 3024996 4537494 9074988 24219359 48438718 72658077 96877436 145316154 217974231 290632308 314851667 435948462 629703334 871896924 944555001 1259406668 1889110002 2833665003 3778220004 5667330006 11334660012