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47442843648 = 211324167937
BaseRepresentation
bin101100001011110100…
…000101100000000000
311112110101002011120100
4230023310011200000
51234130331444043
633443412442400
73266451342264
oct541364054000
9145411064510
1047442843648
11191362806a2
129240619400
13462104aa65
142420c820a4
15137a128cd3
hexb0bd05800

47442843648 has 288 divisors, whose sum is σ = 142612732080. Its totient is φ = 15182069760.

The previous prime is 47442843647. The next prime is 47442843677. The reversal of 47442843648 is 84634824474.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 47442843594 and 47442843603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47442843647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50632236 + ... + 50633172.

Almost surely, 247442843648 is an apocalyptic number.

47442843648 is a gapful number since it is divisible by the number (48) 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 47442843648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71306366040).

47442843648 is an abundant number, since it is smaller than the sum of its proper divisors (95169888432).

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

47442843648 is a wasteful number, since it uses less digits than its factorization.

47442843648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1050 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 47442843648 in words is "forty-seven billion, four hundred forty-two million, eight hundred forty-three thousand, six hundred forty-eight".