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54013044663450 = 23252253947274119
BaseRepresentation
bin11000100011111111001000…
…10101110010010010011010
321002020121002221200112021100
430101333210111302102122
524034422203413212300
6310513130011452230
714243212412302065
oct1421774425622232
9232217087615240
1054013044663450
1116234892660454
12608410b457076
13241a53cc2a782
14d4a3611bb8dc
1563a00ae40700
hex311fe457249a

54013044663450 has 72 divisors (see below), whose sum is σ = 145172204143200. Its totient is φ = 14397805378080.

The previous prime is 54013044663437. The next prime is 54013044663469. The reversal of 54013044663450 is 5436644031045.

54013044663450 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 0 + 4 + 4 + 6 + 634 + 5 + 0 = 666.

54013044663450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54013044663396 and 54013044663405.

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 35 ways as a sum of consecutive naturals, for example, 22494510 + ... + 24779609.

It is an arithmetic number, because the mean of its divisors is an integer number (2016280613100).

Almost surely, 254013044663450 is an apocalyptic number.

54013044663450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54013044663450 is an abundant number, since it is smaller than the sum of its proper divisors (91159159479750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54013044663450 is a wasteful number, since it uses less digits than its factorization.

54013044663450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47276676 (or 47276668 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 54013044663450 its reverse (5436644031045), we get a palindrome (59449688694495).

The spelling of 54013044663450 in words is "fifty-four trillion, thirteen billion, forty-four million, six hundred sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2539 5078 7617 12695 15234 22851 25390 38085 45702 63475 76170 114255 126950 190425 228510 380850 571275 1142550 47274119 94548238 141822357 236370595 283644714 425467071 472741190 709111785 850934142 1181852975 1418223570 2127335355 2363705950 3545558925 4254670710 7091117850 10636676775 21273353550 120028988141 240057976282 360086964423 600144940705 720173928846 1080260893269 1200289881410 1800434822115 2160521786538 3000724703525 3600869644230 5401304466345 6001449407050 9002174110575 10802608932690 18004348221150 27006522331725 54013044663450