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455283514009 = 17219220892
BaseRepresentation
bin1101010000000010000…
…00110001101010011001
31121112011111020212021201
412220001000301222121
524424410034422014
6545053201434201
744615231005462
oct6500100615231
91545144225251
10455283514009
111660a2746755
12742a163b961
1333c18bb48cc
14180704b5d69
15bc9a048e74
hex6a01031a99

455283514009 has 27 divisors (see below), whose sum is σ = 510679208637. Its totient is φ = 405755059968.

The previous prime is 455283514003. The next prime is 455283514061. The reversal of 455283514009 is 900415382554.

The square root of 455283514009 is 674747.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 202000808025 + 253282705984 = 449445^2 + 503272^2 .

It is not a de Polignac number, because 455283514009 - 23 = 455283514001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 455283514009.

It is not an unprimeable number, because it can be changed into a prime (455283514001) 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, 217942237 + ... + 217944325.

Almost surely, 2455283514009 is an apocalyptic number.

455283514009 is the 674747-th square number.

455283514009 is the 337374-th centered octagonal number.

It is an amenable number.

455283514009 is a deficient number, since it is larger than the sum of its proper divisors (55395694628).

455283514009 is an frugal number, since it uses more digits than its factorization.

455283514009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 455283514009 in words is "four hundred fifty-five billion, two hundred eighty-three million, five hundred fourteen thousand, nine".

Divisors: 1 17 19 289 323 361 2089 5491 6137 35513 39691 104329 603721 674747 754129 4363921 11470699 12820193 74186657 82914499 217943281 1261173169 1409546483 1575375481 23962290211 26781383177 455283514009