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112452263248 = 24134153248797
BaseRepresentation
bin110100010111010101…
…1010101110101010000
3101202020222202212010211
41220232223111311100
53320300234410443
6123354310133504
711060446315663
oct1505653256520
9352228685124
10112452263248
1143766409856
1219964051294
13a7b1584150
14562ab696da
152dd254419d
hex1a2ead5d50

112452263248 has 80 divisors (see below), whose sum is σ = 244894856976. Its totient is φ = 49679585280.

The previous prime is 112452263243. The next prime is 112452263267. The reversal of 112452263248 is 842362254211.

It can be written as a sum of positive squares in 8 ways, for example, as 1331374144 + 111120889104 = 36488^2 + 333348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112452263248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112452263243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 327586 + ... + 576382.

Almost surely, 2112452263248 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 112452263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122447428488).

112452263248 is an abundant number, since it is smaller than the sum of its proper divisors (132442593728).

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

112452263248 is a wasteful number, since it uses less digits than its factorization.

112452263248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248912 (or 248906 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The spelling of 112452263248 in words is "one hundred twelve billion, four hundred fifty-two million, two hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 53 82 104 106 164 208 212 328 424 533 656 689 848 1066 1378 2132 2173 2756 4264 4346 5512 8528 8692 11024 17384 28249 34768 56498 112996 225992 248797 451984 497594 995188 1990376 3234361 3980752 6468722 10200677 12937444 13186241 20401354 25874888 26372482 40802708 51749776 52744964 81605416 105489928 132608801 163210832 171421133 210979856 265217602 342842266 530435204 540635881 685684532 1060870408 1081271762 1371369064 2121740816 2162543524 2742738128 4325087048 7028266453 8650174096 14056532906 28113065812 56226131624 112452263248