Search a number
-
+
496283423537268 = 223219238187397933
BaseRepresentation
bin111000011010111011111110…
…1001010101111100001110100
32102002012020021002021102020100
41300311313331022233201310
51010022101422411143033
64515301242441434100
7206351202611315343
oct16065677512574164
92362166232242210
10496283423537268
11134149688560724
12477b307649b930
13183bc431396533
148a7a36290db5a
153c5970dbdc513
hex1c35dfd2af874

496283423537268 has 54 divisors (see below), whose sum is σ = 1323995273769714. Its totient is φ = 156721081112928.

The previous prime is 496283423537267. The next prime is 496283423537327. The reversal of 496283423537268 is 862735324382694.

496283423537268 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 8 + 3 + 4 + 2 + 353 + 7 + 268 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365067589854564 + 131215833682704 = 19106742^2 + 11454948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 496283423537196 and 496283423537205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496283423537263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19093685971 + ... + 19093711962.

Almost surely, 2496283423537268 is an apocalyptic number.

It is an amenable number.

496283423537268 is an abundant number, since it is smaller than the sum of its proper divisors (827711850232446).

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

496283423537268 is a wasteful number, since it uses less digits than its factorization.

496283423537268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38187397981 (or 38187397957 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 496283423537268 in words is "four hundred ninety-six trillion, two hundred eighty-three billion, four hundred twenty-three million, five hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 38187397933 76374795866 114562193799 152749591732 229124387598 343686581397 458248775196 687373162794 725560560727 1374746325588 1451121121454 2176681682181 2902242242908 4353363364362 6530045046543 8706726728724 13060090093086 13785650653813 26120180186172 27571301307626 41356951961439 55142602615252 82713903922878 124070855884317 165427807845756 248141711768634 496283423537268