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54362426345 = 517972101673
BaseRepresentation
bin110010101000010000…
…001100101111101001
312012022121111101112222
4302220100030233221
51342313240120340
640550155243425
73633102666623
oct625020145751
9165277441488
1054362426345
1121067199587
12a651a49575
1351847a86a6
1428b9c67c13
15163285a8b5
hexca840cbe9

54362426345 has 48 divisors (see below), whose sum is σ = 70587421488. Its totient is φ = 40049049600.

The previous prime is 54362426333. The next prime is 54362426381.

54362426345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 15086717584 + 39275708761 = 122828^2 + 198181^2 .

It is not a de Polignac number, because 54362426345 - 24 = 54362426329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54362426296 and 54362426305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80775929 + ... + 80776601.

It is an arithmetic number, because the mean of its divisors is an integer number (1470571281).

Almost surely, 254362426345 is an apocalyptic number.

It is an amenable number.

54362426345 is a deficient number, since it is larger than the sum of its proper divisors (16224995143).

54362426345 is a wasteful number, since it uses less digits than its factorization.

54362426345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 893 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 54362426345 in words is "fifty-four billion, three hundred sixty-two million, four hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 5 17 85 97 101 485 505 673 1649 1717 3365 8245 8585 9409 9797 11441 47045 48985 57205 65281 67973 159953 166549 326405 339865 799765 832745 950309 1109777 1155541 4751545 5548885 5777705 6332257 6593381 16155253 31661285 32966905 80776265 107648369 112087477 538241845 560437385 639557957 3197789785 10872485269 54362426345