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8679211420 = 2251135712
BaseRepresentation
bin10000001010101001…
…00100000110011100
3211101212110121210211
420011110210012130
5120233334231140
63553121342204
7425036036245
oct100524440634
924355417724
108679211420
113754209000
121822797964
13a84184179
145c498dccc
1535be632ea
hex20552419c

8679211420 has 72 divisors (see below), whose sum is σ = 20082780144. Its totient is φ = 3150549600.

The previous prime is 8679211417. The next prime is 8679211421. The reversal of 8679211420 is 241129768.

It is a super-3 number, since 3×86792114203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8679211421) 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, 15199735 + ... + 15200305.

It is an arithmetic number, because the mean of its divisors is an integer number (278927502).

Almost surely, 28679211420 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 8679211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041390072).

8679211420 is an abundant number, since it is smaller than the sum of its proper divisors (11403568724).

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

8679211420 is an equidigital number, since it uses as much as digits as its factorization.

8679211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 8679211420 is about 93162.2853948957. The cubic root of 8679211420 is about 2055.0706455863.

The spelling of 8679211420 in words is "eight billion, six hundred seventy-nine million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 571 605 1142 1210 1331 2284 2420 2662 2855 5324 5710 6281 6655 11420 12562 13310 25124 26620 31405 62810 69091 125620 138182 276364 326041 345455 652082 690910 760001 1304164 1381820 1520002 1630205 3040004 3260410 3586451 3800005 6520820 7172902 7600010 14345804 15200020 17932255 35864510 39450961 71729020 78901922 157803844 197254805 394509610 433960571 789019220 867921142 1735842284 2169802855 4339605710 8679211420