Search a number
-
+
54955306423296 = 2103254111022241
BaseRepresentation
bin11000111111011010001111…
…00001001001010000000000
321012120200020210102110020100
430133231013201021100000
524200341431421021141
6312514041431242400
714401250503146336
oct1437550741112000
9235520223373210
1054955306423296
11165684618809a4
1261b6858b19400
132488356212766
14d7dbcb2c7b56
156547a87c00b6
hex31fb47849400

54955306423296 has 132 divisors (see below), whose sum is σ = 158975581969204. Its totient is φ = 18284573491200.

The previous prime is 54955306423247. The next prime is 54955306423349. The reversal of 54955306423296 is 69232460355945.

It is a happy number.

54955306423296 is a `hidden beast` number, since 5 + 4 + 9 + 5 + 5 + 306 + 4 + 232 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37347547677696 + 17607758745600 = 6111264^2 + 4196160^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525265 + ... + 10496976.

Almost surely, 254955306423296 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 54955306423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79487790984602).

54955306423296 is an abundant number, since it is smaller than the sum of its proper divisors (104020275545908).

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

54955306423296 is a wasteful number, since it uses less digits than its factorization.

54955306423296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022808 (or 11022787 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 63.

The spelling of 54955306423296 in words is "fifty-four trillion, nine hundred fifty-five billion, three hundred six million, four hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 541 576 768 1024 1082 1152 1536 1623 2164 2304 3072 3246 4328 4608 4869 6492 8656 9216 9738 12984 17312 19476 25968 34624 38952 51936 69248 77904 103872 138496 155808 207744 276992 311616 415488 553984 623232 830976 1246464 1661952 2492928 4985856 11022241 22044482 33066723 44088964 66133446 88177928 99200169 132266892 176355856 198400338 264533784 352711712 396800676 529067568 705423424 793601352 1058135136 1410846848 1587202704 2116270272 2821693696 3174405408 4232540544 5643387392 5963032381 6348810816 8465081088 11286774784 11926064762 12697621632 16930162176 17889097143 23852129524 25395243264 33860324352 35778194286 47704259048 50790486528 53667291429 71556388572 95408518096 101580973056 107334582858 143112777144 190817036192 214669165716 286225554288 381634072384 429338331432 572451108576 763268144768 858676662864 1144902217152 1526536289536 1717353325728 2289804434304 3053072579072 3434706651456 4579608868608 6106145158144 6869413302912 9159217737216 13738826605824 18318435474432 27477653211648 54955306423296