Search a number
-
+
54477999977445 = 32511920911950979
BaseRepresentation
bin11000110001100001001011…
…10101100011001111100101
321010220001020111010201220100
430120300211311203033211
524120031420443234240
6311510503033454313
714321622424252302
oct1430604565431745
9233801214121810
1054477999977445
11163a3a98826630
12613a24bb71399
13245233a80a145
14d64a6bdc20a9
15647170117e30
hex318c25d633e5

54477999977445 has 48 divisors (see below), whose sum is σ = 103024140148800. Its totient is φ = 26410705301760.

The previous prime is 54477999977393. The next prime is 54477999977461.

54477999977445 is a `hidden beast` number, since 5 + 4 + 4 + 7 + 7 + 9 + 9 + 99 + 77 + 445 = 666.

54477999977445 is nontrivially palindromic in base 10.

54477999977445 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 54477999977445 - 212 = 54477999973349 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1417035 + ... + 10533944.

It is an arithmetic number, because the mean of its divisors is an integer number (2146336253100).

Almost surely, 254477999977445 is an apocalyptic number.

54477999977445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54477999977445 is a deficient number, since it is larger than the sum of its proper divisors (48546140171355).

54477999977445 is a wasteful number, since it uses less digits than its factorization.

54477999977445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960210 (or 11960207 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 90.

The spelling of 54477999977445 in words is "fifty-four trillion, four hundred seventy-seven billion, nine hundred ninety-nine million, nine hundred seventy-seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 9209 27627 46045 82881 101299 138135 303897 414405 506495 911691 1519485 4558455 11950979 35852937 59754895 107558811 131460769 179264685 394382307 537794055 657303845 1183146921 1971911535 5915734605 110056565611 330169696833 550282828055 990509090499 1210622221721 1650848484165 3631866665163 4952545452495 6053111108605 10895599995489 18159333325815 54477999977445