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54050444405045 = 5112112979131601
BaseRepresentation
bin11000100101000100110011…
…00010011110100100110101
321002101011122101220020210222
430102202121202132210311
524041030302231430140
6310542233102024125
714246005253664434
oct1422423142364465
9232334571806728
1054050444405045
1116249734857900
12608b408578045
132420c2037959a
14d4c0ac2bb11b
1563ae994e55b5
hex31289989e935

54050444405045 has 24 divisors (see below), whose sum is σ = 71356130787480. Its totient is φ = 39274595712000.

The previous prime is 54050444405021. The next prime is 54050444405047.

54050444405045 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2896007518756 + 51154436886289 = 1701766^2 + 7152233^2 .

It is a de Polignac number, because none of the positive numbers 2k-54050444405045 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54050444404987 and 54050444405005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54050444405047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38882756 + ... + 40248845.

It is an arithmetic number, because the mean of its divisors is an integer number (2973172116145).

Almost surely, 254050444405045 is an apocalyptic number.

54050444405045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54050444405045 is a deficient number, since it is larger than the sum of its proper divisors (17305686382435).

54050444405045 is a wasteful number, since it uses less digits than its factorization.

54050444405045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79132757 (or 79132746 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 44.

The spelling of 54050444405045 in words is "fifty-four trillion, fifty billion, four hundred forty-four million, four hundred five thousand, forty-five".

Divisors: 1 5 11 55 121 605 1129 5645 12419 62095 136609 683045 79131601 395658005 870447611 4352238055 9574923721 47874618605 89339577529 446697887645 982735352819 4913676764095 10810088881009 54050444405045