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112517516144 = 24112707236167
BaseRepresentation
bin110100011001010010…
…0010000101101110000
3101202102112120001021202
41220302210100231300
53320413441004034
6123405000510332
711062201051445
oct1506244205560
9352375501252
10112517516144
114379a228270
1219981a7b3a8
13a7c1c50027
1456356b39cc
152dd813347e
hex1a32910b70

112517516144 has 40 divisors (see below), whose sum is σ = 237909975168. Its totient is φ = 51125215680.

The previous prime is 112517516141. The next prime is 112517516149. The reversal of 112517516144 is 441615715211.

It is a happy number.

112517516144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112517516098 and 112517516107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112517516141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358349 + ... + 594515.

Almost surely, 2112517516144 is an apocalyptic number.

It is an amenable number.

112517516144 is an abundant number, since it is smaller than the sum of its proper divisors (125392459024).

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

112517516144 is a wasteful number, since it uses less digits than its factorization.

112517516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238893 (or 238887 counting only the distinct ones).

The product of its digits is 33600, while the sum is 38.

The spelling of 112517516144 in words is "one hundred twelve billion, five hundred seventeen million, five hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2707 5414 10828 21656 29777 43312 59554 119108 236167 238216 472334 476432 944668 1889336 2597837 3778672 5195674 10391348 20782696 41565392 639304069 1278608138 2557216276 5114432552 7032344759 10228865104 14064689518 28129379036 56258758072 112517516144