Search a number
-
+
56326304736 = 25321321157263
BaseRepresentation
bin110100011101010011…
…110011001111100000
312101101110212202020200
4310131103303033200
51410324013222421
641513112105200
74032550455612
oct643523631740
9171343782220
1056326304736
1121984804479
12aabb695200
135408616600
142a249dcdb2
1516e9e85726
hexd1d4f33e0

56326304736 has 108 divisors (see below), whose sum is σ = 173447256528. Its totient is φ = 17331155712.

The previous prime is 56326304711. The next prime is 56326304743. The reversal of 56326304736 is 63740362365.

56326304736 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 630 + 4 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56326304691 and 56326304700.

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 17 ways as a sum of consecutive naturals, for example, 529960 + ... + 627303.

It is an arithmetic number, because the mean of its divisors is an integer number (1605993116).

Almost surely, 256326304736 is an apocalyptic number.

It is an amenable number.

56326304736 is an abundant number, since it is smaller than the sum of its proper divisors (117120951792).

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

56326304736 is a wasteful number, since it uses less digits than its factorization.

56326304736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157305 (or 1157281 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 56326304736 in words is "fifty-six billion, three hundred twenty-six million, three hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 1157263 2314526 3471789 4629052 6943578 9258104 10415367 13887156 15044419 18516208 20830734 27774312 30088838 37032416 41661468 45133257 55548624 60177676 83322936 90266514 111097248 120355352 135399771 166645872 180533028 195577447 240710704 270799542 333291744 361066056 391154894 481421408 541599084 586732341 722132112 782309788 1083198168 1173464682 1444264224 1564619576 1760197023 2166396336 2346929364 3129239152 3520394046 4332792672 4693858728 6258478304 7040788092 9387717456 14081576184 18775434912 28163152368 56326304736