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54139520288 = 2571794715013
BaseRepresentation
bin110010011010111101…
…111000010100100000
312011202002001120221002
4302122331320110200
51341334204122123
640512113451132
73624425221010
oct623275702440
9164662046832
1054139520288
1120a623909a7
12a5ab270aa8
13514a561309
142898401c40
15161cec9528
hexc9af78520

54139520288 has 96 divisors (see below), whose sum is σ = 129124243584. Its totient is φ = 21813276672.

The previous prime is 54139520269. The next prime is 54139520293. The reversal of 54139520288 is 88202593145.

It is a happy number.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3598670 + ... + 3613682.

It is an arithmetic number, because the mean of its divisors is an integer number (1345044204).

Almost surely, 254139520288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54139520288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64562121792).

54139520288 is an abundant number, since it is smaller than the sum of its proper divisors (74984723296).

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

54139520288 is a wasteful number, since it uses less digits than its factorization.

54139520288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15994 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 54139520288 in words is "fifty-four billion, one hundred thirty-nine million, five hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 947 952 1894 1904 3788 3808 6629 7576 13258 15013 15152 16099 26516 30026 30304 32198 53032 60052 64396 105091 106064 112693 120104 128792 210182 212128 225386 240208 255221 257584 420364 450772 480416 510442 515168 840728 901544 1020884 1681456 1786547 1803088 2041768 3362912 3573094 3606176 4083536 7146188 8167072 14217311 14292376 28434622 28584752 56869244 57169504 99521177 113738488 199042354 227476976 241694287 398084708 454953952 483388574 796169416 966777148 1592338832 1691860009 1933554296 3184677664 3383720018 3867108592 6767440036 7734217184 13534880072 27069760144 54139520288