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668051256852 = 2232717643242521
BaseRepresentation
bin10011011100010101111…
…01010011011000010100
32100212100122022002022200
421232022331103120110
541421132110204402
61230522024524500
766156634663530
oct11561275233024
92325318262280
10668051256852
11238356578041
12a9581020730
134acc6435cb5
1424496144bc0
151259e34321c
hex9b8af53614

668051256852 has 144 divisors (see below), whose sum is σ = 2046637337472. Its totient is φ = 179363911680.

The previous prime is 668051256811. The next prime is 668051256853. The reversal of 668051256852 is 258652150866.

It is a happy number.

668051256852 is a `hidden beast` number, since 6 + 68 + 0 + 5 + 12 + 568 + 5 + 2 = 666.

668051256852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668051256853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633352 + ... + 2875872.

It is an arithmetic number, because the mean of its divisors is an integer number (14212759288).

Almost surely, 2668051256852 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 668051256852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023318668736).

668051256852 is an abundant number, since it is smaller than the sum of its proper divisors (1378586080620).

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

668051256852 is a wasteful number, since it uses less digits than its factorization.

668051256852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243198 (or 243193 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 668051256852 in words is "six hundred sixty-eight billion, fifty-one million, two hundred fifty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 643 714 1071 1286 1428 1929 2142 2572 3858 4284 4501 5787 7716 9002 10931 11574 13503 18004 21862 23148 27006 32793 40509 43724 54012 65586 76517 81018 98379 131172 153034 162036 196758 229551 242521 306068 393516 459102 485042 688653 727563 918204 970084 1377306 1455126 1697647 2182689 2754612 2910252 3395294 4122857 4365378 5092941 6790588 8245714 8730756 10185882 12368571 15278823 16491428 20371764 24737142 28859999 30557646 37105713 49474284 57719998 61115292 74211426 86579997 115439996 148422852 155941003 173159994 259739991 311882006 346319988 467823009 519479982 623764012 935646018 1038959964 1091587021 1403469027 1871292036 2183174042 2650997051 2806938054 3274761063 4366348084 5301994102 5613876108 6549522126 7952991153 9824283189 10603988204 13099044252 15905982306 18556979357 19648566378 23858973459 31811964612 37113958714 39297132756 47717946918 55670938071 74227917428 95435893836 111341876142 167012814213 222683752284 334025628426 668051256852