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2141327682 = 2321328392
BaseRepresentation
bin111111110100010…
…0001000101000010
312112020021201100200
41333220201011002
513341134441212
6552252030030
7104030661564
oct17750410502
95466251320
102141327682
119a97a61aa
124b9162316
1328182ab00
14164567334
15c7ecc6dc
hex7fa21142

2141327682 has 54 divisors (see below), whose sum is σ = 5029879257. Its totient is φ = 658084752.

The previous prime is 2141327681. The next prime is 2141327689. The reversal of 2141327682 is 2867231412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1830898521 + 310429161 = 42789^2 + 17619^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32721.

It is not an unprimeable number, because it can be changed into a prime (2141327681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2551819 + ... + 2552657.

Almost surely, 22141327682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141327682

2141327682 is an abundant number, since it is smaller than the sum of its proper divisors (2888551575).

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

2141327682 is an equidigital number, since it uses as much as digits as its factorization.

2141327682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 857 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2141327682 is about 46274.4819744100. The cubic root of 2141327682 is about 1288.9251872947.

The spelling of 2141327682 in words is "two billion, one hundred forty-one million, three hundred twenty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 839 1014 1521 1678 2517 3042 5034 7551 10907 15102 21814 32721 65442 98163 141791 196326 283582 425373 703921 850746 1276119 1407842 2111763 2552238 4223526 6335289 9150973 12670578 18301946 27452919 54905838 82358757 118962649 164717514 237925298 356887947 713775894 1070663841 2141327682