Search a number
-
+
112771309824 = 28321929211421
BaseRepresentation
bin110100100000110110…
…0011010000100000000
3101210002020010002202200
41221001230122010000
53321423423403244
6123450104313200
711101402213635
oct1510154320400
9353066102680
10112771309824
114390a512208
1219a32a72800
13a8326c03c4
14565b29a18c
152e00566669
hex1a41b1a100

112771309824 has 432 divisors, whose sum is σ = 356585611200. Its totient is φ = 34139750400.

The previous prime is 112771309823. The next prime is 112771309829. The reversal of 112771309824 is 428903177211.

It is a self number, because there is not a number n which added to its sum of digits gives 112771309824.

It is not an unprimeable number, because it can be changed into a prime (112771309823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267865134 + ... + 267865554.

Almost surely, 2112771309824 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 112771309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178292805600).

112771309824 is an abundant number, since it is smaller than the sum of its proper divisors (243814301376).

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

112771309824 is a wasteful number, since it uses less digits than its factorization.

112771309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 112771309824 in words is "one hundred twelve billion, seven hundred seventy-one million, three hundred nine thousand, eight hundred twenty-four".