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112405244536 = 231317139457393
BaseRepresentation
bin110100010101111011…
…1111110101001111000
3101202010201022001121001
41220223313332221320
53320201220311121
6123345510254344
711056335546124
oct1505367765170
9352121261531
10112405244536
1143741914a12
12199503573b4
13a7a4900a20
14562480a584
152dcd357991
hex1a2bdfea78

112405244536 has 64 divisors (see below), whose sum is σ = 242052904800. Its totient is φ = 48476233728.

The previous prime is 112405244533. The next prime is 112405244537. The reversal of 112405244536 is 635442504211.

It is a junction number, because it is equal to n+sod(n) for n = 112405244495 and 112405244504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112405244533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17056 + ... + 474448.

Almost surely, 2112405244536 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 112405244536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121026452400).

112405244536 is an abundant number, since it is smaller than the sum of its proper divisors (129647660264).

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

112405244536 is a wasteful number, since it uses less digits than its factorization.

112405244536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457568 (or 457564 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 112405244536 its reverse (635442504211), we get a palindrome (747847748747).

The spelling of 112405244536 in words is "one hundred twelve billion, four hundred five million, two hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 139 221 278 442 556 884 1112 1768 1807 2363 3614 4726 7228 9452 14456 18904 30719 61438 122876 245752 457393 914786 1829572 3659144 5946109 7775681 11892218 15551362 23784436 31102724 47568872 62205448 63577627 101083853 127155254 202167706 254310508 404335412 508621016 808670824 826509151 1080819659 1653018302 2161639318 3306036604 4323278636 6612073208 8646557272 14050655567 28101311134 56202622268 112405244536