Search a number
-
+
112891540608 = 27327311191367
BaseRepresentation
bin110100100100011011…
…1000011010010000000
3101210101121100110101200
41221020313003102000
53322200213244413
6123510041301200
711104362156000
oct1511067032200
9353347313350
10112891540608
11439713713a0
1219a67194800
13a851598392
14566d236000
152e0adb5573
hex1a48dc3480

112891540608 has 768 divisors, whose sum is σ = 435352320000. Its totient is φ = 27758868480.

The previous prime is 112891540591. The next prime is 112891540609. The reversal of 112891540608 is 806045198211.

It is a happy number.

112891540608 is a `hidden beast` number, since 1 + 1 + 28 + 9 + 15 + 4 + 0 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (112891540609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82582741 + ... + 82584107.

It is an arithmetic number, because the mean of its divisors is an integer number (566865000).

Almost surely, 2112891540608 is an apocalyptic number.

112891540608 is a gapful number since it is divisible by the number (18) 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 112891540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160000).

112891540608 is an abundant number, since it is smaller than the sum of its proper divisors (322460779392).

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

112891540608 is a wasteful number, since it uses less digits than its factorization.

112891540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 112891540608 in words is "one hundred twelve billion, eight hundred ninety-one million, five hundred forty thousand, six hundred eight".