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54353033035345 = 51167102591437743
BaseRepresentation
bin11000101101111000011010…
…01110011111111001010001
321010110002200022210022202101
430112330031032133321101
524111010002424112340
6311333234430320401
714306606553625162
oct1426741516377121
9233402608708671
1054353033035345
1116355aa0193390
126119b94959101
132443613599ca5
14d5c9b5141769
15643ca908ac9a
hex316f0d39fe51

54353033035345 has 32 divisors (see below), whose sum is σ = 72222136842240. Its totient is φ = 38935663631040.

The previous prime is 54353033035297. The next prime is 54353033035361.

54353033035345 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54353033035345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54353033035295 and 54353033035304.

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, 37085544 + ... + 38523286.

It is an arithmetic number, because the mean of its divisors is an integer number (2256941776320).

Almost surely, 254353033035345 is an apocalyptic number.

54353033035345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54353033035345 is a deficient number, since it is larger than the sum of its proper divisors (17869103806895).

54353033035345 is a wasteful number, since it uses less digits than its factorization.

54353033035345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448085.

The product of its (nonzero) digits is 7290000, while the sum is 46.

The spelling of 54353033035345 in words is "fifty-four trillion, three hundred fifty-three billion, thirty-three million, thirty-five thousand, three hundred forty-five".

Divisors: 1 5 11 55 67 335 737 3685 10259 51295 112849 564245 687353 1437743 3436765 7188715 7560883 15815173 37804415 79075865 96328781 481643905 1059616591 5298082955 14749805437 73749027185 162247859807 811239299035 988236964279 4941184821395 10870606607069 54353033035345