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4682668826718 = 23217412271644229
BaseRepresentation
bin100010000100100010011…
…0011111110000001011110
3121120122210020112021102100
41010021010303332001132
51103210101204423333
613543104404105530
7662211620202501
oct104110463760136
917518706467370
104682668826718
1115459aa526263
126376483952a6
1327c75c77b44c
141228dc999138
1581c18770213
hex44244cfe05e

4682668826718 has 96 divisors (see below), whose sum is σ = 11053092828960. Its totient is φ = 1426926827520.

The previous prime is 4682668826711. The next prime is 4682668826723. The reversal of 4682668826718 is 8176288662864.

4682668826718 is a `hidden beast` number, since 468 + 2 + 66 + 88 + 26 + 7 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682668826711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2025828 + ... + 3670056.

It is an arithmetic number, because the mean of its divisors is an integer number (115136383635).

Almost surely, 24682668826718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682668826718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526546414480).

4682668826718 is an abundant number, since it is smaller than the sum of its proper divisors (6370424002242).

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

4682668826718 is a wasteful number, since it uses less digits than its factorization.

4682668826718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644522 (or 1644519 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 4682668826718 in words is "four trillion, six hundred eighty-two billion, six hundred sixty-eight million, eight hundred twenty-six thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 227 246 306 369 454 681 697 738 1362 1394 2043 2091 3859 4086 4182 6273 7718 9307 11577 12546 18614 23154 27921 34731 55842 69462 83763 158219 167526 316438 474657 949314 1423971 1644229 2847942 3288458 4932687 9865374 14798061 27951893 29596122 55903786 67413389 83855679 134826778 167711358 202240167 251567037 373239983 404480334 503134074 606720501 746479966 1119719949 1146027613 1213441002 2239439898 2292055226 3359159847 3438082839 6345079711 6718319694 6876165678 10314248517 12690159422 15302839303 19035239133 20628497034 30605678606 38070478266 45908517909 57105717399 91817035818 114211434798 137725553727 260148268151 275451107454 520296536302 780444804453 1560889608906 2341334413359 4682668826718