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112480490304 = 263271361127277
BaseRepresentation
bin110100011000001011…
…1000001001101000000
3101202022221212221101100
41220300113001031000
53320330001142204
6123401155134400
711061241251420
oct1506027011500
9352287787340
10112480490304
11437803391a6
12199715a4400
13a7b7388150
1456307d6480
152dd4c6ca39
hex1a305c1340

112480490304 has 672 divisors, whose sum is σ = 407954333696. Its totient is φ = 28844605440.

The previous prime is 112480490281. The next prime is 112480490341. The reversal of 112480490304 is 403094084211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406066614 + ... + 406066890.

Almost surely, 2112480490304 is an apocalyptic number.

112480490304 is a gapful number since it is divisible by the number (14) 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 112480490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203977166848).

112480490304 is an abundant number, since it is smaller than the sum of its proper divisors (295473843392).

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

112480490304 is a wasteful number, since it uses less digits than its factorization.

112480490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 112480490304 in words is "one hundred twelve billion, four hundred eighty million, four hundred ninety thousand, three hundred four".