Search a number
-
+
51005120544 = 2532725300159
BaseRepresentation
bin101111100000001001…
…000110000000100000
311212122122010120210200
4233200021012000200
51313424302324134
635233104425200
73453645241230
oct574011060040
9155578116720
1051005120544
111a6a4073a94
129a75618200
134a6b080801
14267c011cc0
1514d7c38499
hexbe0246020

51005120544 has 72 divisors (see below), whose sum is σ = 165766648320. Its totient is φ = 14572891008.

The previous prime is 51005120531. The next prime is 51005120563. The reversal of 51005120544 is 44502150015.

51005120544 is a `hidden beast` number, since 5 + 100 + 5 + 12 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12648064 + ... + 12652095.

It is an arithmetic number, because the mean of its divisors is an integer number (2302314560).

Almost surely, 251005120544 is an apocalyptic number.

It is an amenable number.

51005120544 is an abundant number, since it is smaller than the sum of its proper divisors (114761527776).

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

51005120544 is a wasteful number, since it uses less digits than its factorization.

51005120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300182 (or 25300171 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 51005120544 its reverse (44502150015), we get a palindrome (95507270559).

The spelling of 51005120544 in words is "fifty-one billion, five million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 25300159 50600318 75900477 101200636 151800954 177101113 202401272 227701431 303601908 354202226 404802544 455402862 531303339 607203816 708404452 809605088 910805724 1062606678 1214407632 1416808904 1593910017 1821611448 2125213356 2428815264 2833617808 3187820034 3643222896 4250426712 5667235616 6375640068 7286445792 8500853424 12751280136 17001706848 25502560272 51005120544