Search a number
-
+
112449686832 = 24337229832207
BaseRepresentation
bin110100010111010000…
…1100000110100110000
3101202020210220221222000
41220232201200310300
53320244104434312
6123354135014000
711060415365400
oct1505641406460
9352223827860
10112449686832
1143764a0a08a
121996320a300
13a7b0b91542
14562a698800
152dd21d5adc
hex1a2e860d30

112449686832 has 480 divisors, whose sum is σ = 393274828800. Its totient is φ = 30632974848.

The previous prime is 112449686831. The next prime is 112449686873. The reversal of 112449686832 is 238686944211.

112449686832 is a `hidden beast` number, since 112 + 4 + 496 + 8 + 6 + 8 + 32 = 666.

It is a super-2 number, since 2×1124496868322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (112449686831) 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, 50950273 + ... + 50952479.

It is an arithmetic number, because the mean of its divisors is an integer number (819322560).

Almost surely, 2112449686832 is an apocalyptic number.

112449686832 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 112449686832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196637414400).

112449686832 is an abundant number, since it is smaller than the sum of its proper divisors (280825141968).

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

112449686832 is a wasteful number, since it uses less digits than its factorization.

112449686832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2331 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

It can be divided in two parts, 112 and 449686832, that added together give a palindrome (449686944).

The spelling of 112449686832 in words is "one hundred twelve billion, four hundred forty-nine million, six hundred eighty-six thousand, eight hundred thirty-two".