Search a number
-
+
112373436672 = 2833713671699
BaseRepresentation
bin110100010100111111…
…0101001000100000000
3101202001111110001102000
41220221332221010000
53320120044433142
6123342412424000
711055501310620
oct1505176510400
9352044401360
10112373436672
114372596a222
1219941778000
13a79b144bc3
1456204ca880
152dca67314c
hex1a29fa9100

112373436672 has 288 divisors, whose sum is σ = 380282112000. Its totient is φ = 32064325632.

The previous prime is 112373436667. The next prime is 112373436677. The reversal of 112373436672 is 276634373211.

112373436672 is a `hidden beast` number, since 1 + 1 + 237 + 343 + 6 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (112373436667) and next prime (112373436677).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1123734366723 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112373436677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66140079 + ... + 66141777.

It is an arithmetic number, because the mean of its divisors is an integer number (1320424000).

Almost surely, 2112373436672 is an apocalyptic number.

112373436672 is a gapful number since it is divisible by the number (12) 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 112373436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056000).

112373436672 is an abundant number, since it is smaller than the sum of its proper divisors (267908675328).

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

112373436672 is a wasteful number, since it uses less digits than its factorization.

112373436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3078 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 112373436672 in words is "one hundred twelve billion, three hundred seventy-three million, four hundred thirty-six thousand, six hundred seventy-two".