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112922487216 = 24327113174951
BaseRepresentation
bin110100100101010110…
…1000110100110110000
3101210110202120201011100
41221022231012212300
53322231124042331
6123513104444400
711105216206230
oct1511255064660
9353422521140
10112922487216
1143987889000
1219a75619700
13a857b12196
1456733adcc0
152e0d979ae6
hex1a4ab469b0

112922487216 has 480 divisors, whose sum is σ = 420716215296. Its totient is φ = 27599616000.

The previous prime is 112922487173. The next prime is 112922487239. The reversal of 112922487216 is 612784229211.

112922487216 is a `hidden beast` number, since 1 + 129 + 22 + 487 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22805541 + ... + 22810491.

Almost surely, 2112922487216 is an apocalyptic number.

112922487216 is a gapful number since it is divisible by the number (16) 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 112922487216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210358107648).

112922487216 is an abundant number, since it is smaller than the sum of its proper divisors (307793728080).

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

112922487216 is a wasteful number, since it uses less digits than its factorization.

112922487216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4991 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 112922487216 in words is "one hundred twelve billion, nine hundred twenty-two million, four hundred eighty-seven thousand, two hundred sixteen".