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112743174852 = 2232711195234093
BaseRepresentation
bin110100100000000000…
…1000101001011000100
3101210000021011200211200
41221000001011023010
53321344223043402
6123443221302500
711100611113530
oct1510001051304
9353007150750
10112743174852
11438a5645a70
1219a25564a30
13a82991c2a9
145657654bc0
152decd5a21c
hex1a400452c4

112743174852 has 288 divisors, whose sum is σ = 374819128320. Its totient is φ = 27682871040.

The previous prime is 112743174823. The next prime is 112743174899. The reversal of 112743174852 is 258471347211.

It is a happy number.

112743174852 is a `hidden beast` number, since 1 + 127 + 43 + 1 + 7 + 485 + 2 = 666.

It is a super-2 number, since 2×1127431748522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112743174798 and 112743174807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27543318 + ... + 27547410.

Almost surely, 2112743174852 is an apocalyptic number.

112743174852 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 112743174852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187409564160).

112743174852 is an abundant number, since it is smaller than the sum of its proper divisors (262075953468).

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

112743174852 is a wasteful number, since it uses less digits than its factorization.

112743174852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4658 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 112743174852 in words is "one hundred twelve billion, seven hundred forty-three million, one hundred seventy-four thousand, eight hundred fifty-two".