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112726619856 = 24323173345923
BaseRepresentation
bin110100011111100000…
…1111011011011010000
3101202222010000121122200
41220333001323123100
53321331003313411
6123441430403200
711100320313324
oct1507701733320
9352863017580
10112726619856
1143897268a54
1219a1bb00500
13a826373c36
145655385984
152deb689e56
hex1a3f07b6d0

112726619856 has 120 divisors (see below), whose sum is σ = 330116656896. Its totient is φ = 35865192960.

The previous prime is 112726619849. The next prime is 112726619879. The reversal of 112726619856 is 658916627211.

It is a happy number.

112726619856 is a `hidden beast` number, since 1 + 12 + 7 + 2 + 6 + 619 + 8 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152911 + ... + 498833.

Almost surely, 2112726619856 is an apocalyptic number.

112726619856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112726619856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165058328448).

112726619856 is an abundant number, since it is smaller than the sum of its proper divisors (217390037040).

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

112726619856 is a wasteful number, since it uses less digits than its factorization.

112726619856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346041 (or 346032 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 112726619856 in words is "one hundred twelve billion, seven hundred twenty-six million, six hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 73 93 124 144 146 186 219 248 279 292 372 438 496 558 584 657 744 876 1116 1168 1314 1488 1752 2232 2263 2628 3504 4464 4526 5256 6789 9052 10512 13578 18104 20367 27156 36208 40734 54312 81468 108624 162936 325872 345923 691846 1037769 1383692 2075538 2767384 3113307 4151076 5534768 6226614 8302152 10723613 12453228 16604304 21447226 24906456 25252379 32170839 42894452 49812912 50504758 64341678 75757137 85788904 96512517 101009516 128683356 151514274 171577808 193025034 202019032 227271411 257366712 303028548 386050068 404038064 454542822 514733424 606057096 772100136 782823749 909085644 1212114192 1544200272 1565647498 1818171288 2348471247 3131294996 3636342576 4696942494 6262589992 7045413741 9393884988 12525179984 14090827482 18787769976 28181654964 37575539952 56363309928 112726619856