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345444768211 = 172911318134259
BaseRepresentation
bin1010000011011100001…
…11001101100111010011
31020000122122021110002111
411001232013031213103
521124432330040321
6422410052130151
733646305040054
oct5015607154723
91200578243074
10345444768211
11123558625284
1256b48906957
1326762c272ba
1412a108aa72b
158ebc1a55e1
hex506e1cd9d3

345444768211 has 32 divisors (see below), whose sum is σ = 383846299200. Its totient is φ = 309407293440.

The previous prime is 345444768209. The next prime is 345444768257. The reversal of 345444768211 is 112867444543.

It is a cyclic number.

It is not a de Polignac number, because 345444768211 - 21 = 345444768209 is a prime.

It is a super-3 number, since 3×3454447682113 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345444768611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10066200 + ... + 10100458.

It is an arithmetic number, because the mean of its divisors is an integer number (11995196850).

Almost surely, 2345444768211 is an apocalyptic number.

345444768211 is a deficient number, since it is larger than the sum of its proper divisors (38401530989).

345444768211 is a wasteful number, since it uses less digits than its factorization.

345444768211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34599.

The product of its digits is 2580480, while the sum is 49.

The spelling of 345444768211 in words is "three hundred forty-five billion, four hundred forty-four million, seven hundred sixty-eight thousand, two hundred eleven".

Divisors: 1 17 29 113 181 493 1921 3077 3277 5249 20453 34259 55709 89233 347701 582403 593137 993511 3871267 6200879 10083329 16889687 65811539 105414943 112266743 179825491 700699327 1908534631 3057033347 11911888559 20320280483 345444768211