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2026683216 = 2432109129121
BaseRepresentation
bin111100011001100…
…1011101101010000
312020020120011201100
41320303023231100
513122312330331
6533034504400
7101136344265
oct17063135520
95206504640
102026683216
11950012108
12486895100
13263b5a74c
1415324326c
15bcdd3ae6
hex78ccbb50

2026683216 has 60 divisors (see below), whose sum is σ = 5723978260. Its totient is φ = 669358080.

The previous prime is 2026683151. The next prime is 2026683229. The reversal of 2026683216 is 6123866202.

It can be written as a sum of positive squares in 2 ways, for example, as 951105600 + 1075577616 = 30840^2 + 32796^2 .

It is a super-2 number, since 2×20266832162 = 8214889716032205312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48865 + ... + 80256.

Almost surely, 22026683216 is an apocalyptic number.

It is an amenable number.

2026683216 is an abundant number, since it is smaller than the sum of its proper divisors (3697295044).

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

2026683216 is a wasteful number, since it uses less digits than its factorization.

2026683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129244 (or 129235 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2026683216 is about 45018.6985151726. The cubic root of 2026683216 is about 1265.4994389858.

The spelling of 2026683216 in words is "two billion, twenty-six million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 15696 129121 258242 387363 516484 774726 1032968 1162089 1549452 2065936 2324178 3098904 4648356 6197808 9296712 14074189 18593424 28148378 42222567 56296756 84445134 112593512 126667701 168890268 225187024 253335402 337780536 506670804 675561072 1013341608 2026683216