Search a number
-
+
55817061055776 = 2532533656778109
BaseRepresentation
bin11001011000011111011000…
…00110001011110100100000
321022122001120221210120020100
430230033230012023310200
524304001320112241101
6314414000455542400
714520435543521556
oct1454175406136440
9238561527716210
1055817061055776
111686a978900039
12631587898aa00
13251b6ac2b3687
14dad7bb169bd6
1566bde33aae86
hex32c3ec18bd20

55817061055776 has 72 divisors (see below), whose sum is σ = 161724668692860. Its totient is φ = 18254636315136.

The previous prime is 55817061055709. The next prime is 55817061055793. The reversal of 55817061055776 is 67755016071855.

55817061055776 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 7 + 0 + 6 + 1 + 0 + 557 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55624448912400 + 192612143376 = 7458180^2 + 438876^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1828373791 + ... + 1828404318.

Almost surely, 255817061055776 is an apocalyptic number.

It is an amenable number.

55817061055776 is an abundant number, since it is smaller than the sum of its proper divisors (105907607637084).

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

55817061055776 is a wasteful number, since it uses less digits than its factorization.

55817061055776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656778178 (or 3656778167 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 63.

The spelling of 55817061055776 in words is "fifty-five trillion, eight hundred seventeen billion, sixty-one million, fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 3656778109 7313556218 10970334327 14627112436 21940668654 29254224872 32911002981 43881337308 58508449744 65822005962 87762674616 117016899488 131644011924 175525349232 193809239777 263288023848 351050698464 387618479554 526576047696 581427719331 775236959108 1053152095392 1162855438662 1550473918216 1744283157993 2325710877324 3100947836432 3488566315986 4651421754648 6201895672864 6977132631972 9302843509296 13954265263944 18605687018592 27908530527888 55817061055776