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5345666744 = 2311229191997
BaseRepresentation
bin1001111101010000…
…00110011010111000
3111210112211000012012
410332220012122320
541421442313434
62242240105052
7246320263145
oct47650063270
914715730165
105345666744
1122a3542600
121052305188
13672658622
14389d613cc
152144863ce
hex13ea066b8

5345666744 has 96 divisors (see below), whose sum is σ = 11468217600. Its totient is φ = 2331436800.

The previous prime is 5345666717. The next prime is 5345666749. The reversal of 5345666744 is 4476665435.

It is a junction number, because it is equal to n+sod(n) for n = 5345666692 and 5345666701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345666749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5361254 + ... + 5362250.

It is an arithmetic number, because the mean of its divisors is an integer number (119460600).

Almost surely, 25345666744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345666744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734108800).

5345666744 is an abundant number, since it is smaller than the sum of its proper divisors (6122550856).

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

5345666744 is a wasteful number, since it uses less digits than its factorization.

5345666744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 50.

The square root of 5345666744 is about 73114.0666629890. The cubic root of 5345666744 is about 1748.5066709839.

The spelling of 5345666744 in words is "five billion, three hundred forty-five million, six hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 191 232 242 319 382 484 638 764 968 997 1276 1528 1994 2101 2552 3509 3988 4202 5539 7018 7976 8404 10967 11078 14036 16808 21934 22156 23111 28072 28913 43868 44312 46222 57826 60929 87736 92444 115652 120637 121858 184888 190427 231304 241274 243716 318043 380854 482548 487432 636086 670219 761708 965096 1272172 1340438 1523416 2094697 2544344 2680876 3498473 4189394 5361752 5522383 6996946 8378788 11044766 13993892 16757576 22089532 23041667 27987784 44179064 46083334 60746213 92166668 121492426 184333336 242984852 485969704 668208343 1336416686 2672833372 5345666744