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668666814012 = 2236839273313
BaseRepresentation
bin10011011101011111010…
…01011101111000111100
32100220221112120122000000
421232233221131320330
541423412201022022
61231103054234300
766211121066031
oct11565751357074
92326845518000
10668666814012
11238641a9126a
12a97131b5990
134b093b1a9c2
1424513bbb388
15125d83d56ac
hex9bafa5de3c

668666814012 has 84 divisors (see below), whose sum is σ = 1756545347760. Its totient is φ = 222622463232.

The previous prime is 668666814007. The next prime is 668666814019. The reversal of 668666814012 is 210418666866.

It is a super-2 number, since 2×6686668140122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 668666814012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668666814019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2309868 + ... + 2583180.

It is an arithmetic number, because the mean of its divisors is an integer number (20911254140).

Almost surely, 2668666814012 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 668666814012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878272673880).

668666814012 is an abundant number, since it is smaller than the sum of its proper divisors (1087878533748).

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

668666814012 is a wasteful number, since it uses less digits than its factorization.

668666814012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274174 (or 274157 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 668666814012 in words is "six hundred sixty-eight billion, six hundred sixty-six million, eight hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 839 972 1458 1678 2517 2916 3356 5034 7551 10068 15102 22653 30204 45306 67959 90612 135918 203877 271836 273313 407754 546626 611631 815508 819939 1093252 1223262 1639878 2446524 2459817 3279756 4919634 7379451 9839268 14758902 22138353 29517804 44276706 66415059 88553412 132830118 199245177 229309607 265660236 398490354 458619214 687928821 796980708 917238428 1375857642 2063786463 2751715284 4127572926 6191359389 8255145852 12382718778 18574078167 24765437556 37148156334 55722234501 74296312668 111444469002 167166703503 222888938004 334333407006 668666814012