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54434166143445 = 3351181234512619
BaseRepresentation
bin11000110000001111100010…
…01000101111100111010101
321010201212002122001020212000
430120013301020233213111
524113322133013042240
6311434413302345513
714315511244645014
oct1430076110574725
9233655078036760
1054434166143445
1116387444768340
12613185812b299
13244b1733a536a
14d628b0596a7b
15645e56c80430
hex3181f122f9d5

54434166143445 has 64 divisors (see below), whose sum is σ = 105582311654400. Its totient is φ = 26389068045120.

The previous prime is 54434166143437. The next prime is 54434166143459.

54434166143445 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 4 + 16 + 614 + 3 + 4 + 4 + 5 = 666.

54434166143445 is nontrivially palindromic in base 10.

54434166143445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54434166143445 - 23 = 54434166143437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54434166143391 and 54434166143400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9806346 + ... + 14318964.

It is an arithmetic number, because the mean of its divisors is an integer number (1649723619600).

Almost surely, 254434166143445 is an apocalyptic number.

54434166143445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54434166143445 is a deficient number, since it is larger than the sum of its proper divisors (51148145510955).

54434166143445 is a wasteful number, since it uses less digits than its factorization.

54434166143445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520767 (or 4520761 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 54434166143445 in words is "fifty-four trillion, four hundred thirty-four billion, one hundred sixty-six million, one hundred forty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 8123 24369 40615 73107 89353 121845 219321 268059 365535 446765 804177 1096605 1340295 2412531 4020885 4512619 12062655 13537857 22563095 40613571 49638809 67689285 121840713 148916427 203067855 248194045 446749281 609203565 744582135 1340247843 2233746405 6701239215 36656004137 109968012411 183280020685 329904037233 403216045507 549840062055 989712111699 1209648136521 1649520186165 2016080227535 3628944409563 4948560558495 6048240682605 10886833228689 18144722047815 54434166143445