Search a number
-
+
634331421613422 = 23213191106739132967
BaseRepresentation
bin1001000000111010111100101…
…1000011100001110101101110
310002011222111021102112000020200
42100032233023003201311232
51131120341222413112142
610125035455425054330
7250416634652125431
oct22016571303416556
93064874242460220
10634331421613422
11174132499573115
125b1898197873a6
13212c4272613660
14b28db39c41818
154d50638e4d64c
hex240ebcb0e1d6e

634331421613422 has 96 divisors (see below), whose sum is σ = 1487881028874240. Its totient is φ = 194153740741440.

The previous prime is 634331421613363. The next prime is 634331421613457. The reversal of 634331421613422 is 224316124133436.

634331421613422 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 3 + 1 + 4 + 2 + 1 + 613 + 4 + 22 = 666.

634331421613422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6343314216134223 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4770526383 + ... + 4770659349.

It is an arithmetic number, because the mean of its divisors is an integer number (15498760717440).

Almost surely, 2634331421613422 is an apocalyptic number.

634331421613422 is an abundant number, since it is smaller than the sum of its proper divisors (853549607260818).

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

634331421613422 is a wasteful number, since it uses less digits than its factorization.

634331421613422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239918 (or 239915 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

Adding to 634331421613422 its reverse (224316124133436), we get a palindrome (858647545746858).

The spelling of 634331421613422 in words is "six hundred thirty-four trillion, three hundred thirty-one billion, four hundred twenty-one million, six hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1146 1719 2483 3438 4966 7449 14898 22347 44694 106739 132967 213478 265934 320217 398901 640434 797802 960651 1196703 1387607 1728571 1921302 2393406 2775214 3457142 4162821 5185713 8325642 10371426 12488463 15557139 20387149 24976926 25396697 31114278 40774298 50793394 61161447 76190091 122322894 152380182 183484341 228570273 265032937 330157061 366968682 457140546 530065874 660314122 795098811 990471183 1590197622 1980942366 2385296433 2971413549 4770592866 5942827098 14192764613 28385529226 42578293839 85156587678 127734881517 184505939969 255469763034 369011879938 553517819907 1107035639814 1660553459721 2710818041083 3321106919442 5421636082166 8132454123249 16264908246498 24397362369747 35240634534079 48794724739494 70481269068158 105721903602237 211443807204474 317165710806711 634331421613422