Search a number
-
+
11346464036712 = 2337311217165519
BaseRepresentation
bin1010010100011100110111…
…1101010101011101101000
31111011201012120212022221010
42211013031331111131220
52441400024243133322
640044254342143520
72250516645665610
oct245071575253550
944151176768833
1011346464036712
113685010168752
12133302ba21ba0
13643c755739bc
142b3259567a40
1514a23309a20c
hexa51cdf55768

11346464036712 has 64 divisors (see below), whose sum is σ = 32522708275200. Its totient is φ = 3231422907840.

The previous prime is 11346464036693. The next prime is 11346464036717. The reversal of 11346464036712 is 21763046464311.

It is a happy number.

It is a super-2 number, since 2×113464640367122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11346464036717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108530512 + ... + 108635007.

It is an arithmetic number, because the mean of its divisors is an integer number (508167316800).

Almost surely, 211346464036712 is an apocalyptic number.

11346464036712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11346464036712 is an abundant number, since it is smaller than the sum of its proper divisors (21176244238488).

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

11346464036712 is a wasteful number, since it uses less digits than its factorization.

11346464036712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217165846 (or 217165842 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 11346464036712 in words is "eleven trillion, three hundred forty-six billion, four hundred sixty-four million, thirty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1866 2177 2488 3732 4354 6531 7464 8708 13062 17416 26124 52248 217165519 434331038 651496557 868662076 1302993114 1520158633 1737324152 2605986228 3040317266 4560475899 5211972456 6080634532 9120951798 12161269064 18241903596 36483807192 67538476409 135076952818 202615429227 270153905636 405230858454 472769334863 540307811272 810461716908 945538669726 1418308004589 1620923433816 1891077339452 2836616009178 3782154678904 5673232018356 11346464036712