Search a number
-
+
112073907816 = 233213394330367
BaseRepresentation
bin110100001100000100…
…0000001111001101000
3101201021121211102001200
41220120020001321220
53314011410022231
6123252552444200
711045203332633
oct1503010017150
9351247742050
10112073907816
1143591887812
12198793a9660
13a7510806b0
1455d27dac1a
152dae208be6
hex1a18201e68

112073907816 has 96 divisors (see below), whose sum is σ = 326975900160. Its totient is φ = 34474398336.

The previous prime is 112073907811. The next prime is 112073907817. The reversal of 112073907816 is 618709370211.

It is not an unprimeable number, because it can be changed into a prime (112073907811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3675465 + ... + 3705831.

It is an arithmetic number, because the mean of its divisors is an integer number (3405998960).

Almost surely, 2112073907816 is an apocalyptic number.

It is an amenable number.

112073907816 is an abundant number, since it is smaller than the sum of its proper divisors (214901992344).

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

112073907816 is a wasteful number, since it uses less digits than its factorization.

112073907816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34335 (or 34328 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 112073907816 in words is "one hundred twelve billion, seventy-three million, nine hundred seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3943 7886 11829 15772 23658 30367 31544 35487 47316 51259 60734 70974 91101 94632 102518 121468 141948 153777 182202 205036 242936 273303 283896 307554 364404 394771 410072 461331 546606 615108 728808 789542 922662 1093212 1184313 1230216 1579084 1845324 2186424 2368626 3158168 3552939 3690648 4737252 7105878 9474504 14211756 28423512 119737081 239474162 359211243 478948324 718422486 957896648 1077633729 1436844972 1556582053 2155267458 2873689944 3113164106 4310534916 4669746159 6226328212 8621069832 9339492318 12452656424 14009238477 18678984636 28018476954 37357969272 56036953908 112073907816