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48440426112 = 273413536781
BaseRepresentation
bin101101000111010001…
…100011111010000000
311122000220012121110000
4231013101203322000
51243201222113422
634130410240000
73333253554051
oct550721437200
9148026177400
1048440426112
11195a83a3111
12947a726000
13474c91c740
1424b7560728
1513d79cdcac
hexb47463e80

48440426112 has 320 divisors, whose sum is σ = 158199509160. Its totient is φ = 14621368320.

The previous prime is 48440426057. The next prime is 48440426137. The reversal of 48440426112 is 21162404484.

48440426112 is a `hidden beast` number, since 4 + 84 + 40 + 426 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37039311936 + 11401114176 = 192456^2 + 106776^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7140162 + ... + 7146942.

Almost surely, 248440426112 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 48440426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79099754580).

48440426112 is an abundant number, since it is smaller than the sum of its proper divisors (109759083048).

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

48440426112 is a wasteful number, since it uses less digits than its factorization.

48440426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

It can be divided in two parts, 48440 and 426112, that added together give a cube (474552 = 783).

The spelling of 48440426112 in words is "forty-eight billion, four hundred forty million, four hundred twenty-six thousand, one hundred twelve".