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54353444435345 = 51113913035456387
BaseRepresentation
bin11000101101111001001011…
…01111110111010110010001
321010110010201222220121110102
430112330211233313112101
524111011323233412340
6311333343324142145
714306623010520116
oct1426744557672621
9233403658817412
1054353444435345
1116356191435290
12611a08a697955
13244367a8a0443
14d5ca13a3290d
15643cd0252215
hex316f25bf7591

54353444435345 has 32 divisors (see below), whose sum is σ = 71720509916160. Its totient is φ = 39215264437440.

The previous prime is 54353444435063. The next prime is 54353444435387.

54353444435345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54353444435345 - 212 = 54353444431249 is a prime.

It is a super-2 number, since 2×543534444353452 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7233242 + ... + 12689628.

It is an arithmetic number, because the mean of its divisors is an integer number (2241265934880).

Almost surely, 254353444435345 is an apocalyptic number.

54353444435345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54353444435345 is a deficient number, since it is larger than the sum of its proper divisors (17367065480815).

54353444435345 is a wasteful number, since it uses less digits than its factorization.

54353444435345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457845.

The product of its digits is 207360000, while the sum is 56.

The spelling of 54353444435345 in words is "fifty-four trillion, three hundred fifty-three billion, four hundred forty-four million, four hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 5 11 55 139 695 1303 1529 6515 7645 14333 71665 181117 905585 1992287 5456387 9961435 27281935 60020257 300101285 758437793 3792188965 7109672261 8342815723 35548361305 41714078615 78206394871 391031974355 988244444279 4941222221395 10870688887069 54353444435345