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8382145425756 = 22319119593074153
BaseRepresentation
bin111100111111001111011…
…0011001111000101011100
31002200022210010102102110120
41321332132303033011130
52044313113212111011
625454412054434540
71523406243354024
oct171763663170534
932608703372416
108382145425756
112741936630753
12b34623662a50
1348a58218ba6b
1420d9ab46ca84
15e808b12ea06
hex79f9eccf15c

8382145425756 has 48 divisors (see below), whose sum is σ = 20589453830400. Its totient is φ = 2646771092352.

The previous prime is 8382145425733. The next prime is 8382145425757. The reversal of 8382145425756 is 6575245412838.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8382145425756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382145425757) 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, 1189576 + ... + 4263728.

It is an arithmetic number, because the mean of its divisors is an integer number (428946954800).

Almost surely, 28382145425756 is an apocalyptic number.

It is an amenable number.

8382145425756 is an abundant number, since it is smaller than the sum of its proper divisors (12207308404644).

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

8382145425756 is a wasteful number, since it uses less digits than its factorization.

8382145425756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086138 (or 3086136 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 60.

The spelling of 8382145425756 in words is "eight trillion, three hundred eighty-two billion, one hundred forty-five million, four hundred twenty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 11959 23918 35877 47836 71754 143508 227221 454442 681663 908884 1363326 2726652 3074153 6148306 9222459 12296612 18444918 36889836 58408907 116817814 175226721 233635628 350453442 700906884 36763795727 73527591454 110291387181 147055182908 220582774362 441165548724 698512118813 1397024237626 2095536356439 2794048475252 4191072712878 8382145425756