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47452891248 = 243272171947443
BaseRepresentation
bin101100001100011010…
…011010100001110000
311112111001222122021200
4230030122122201300
51234140420004443
633444412051200
73266632630500
oct541432324160
9145431878250
1047452891248
1119140a135a4
129243a63b00
134623158199
142422339a00
15137ae60dd3
hexb0c69a870

47452891248 has 720 divisors, whose sum is σ = 176240862720. Its totient is φ = 11804921856.

The previous prime is 47452891243. The next prime is 47452891249. The reversal of 47452891248 is 84219825474.

47452891248 is a `hidden beast` number, since 4 + 7 + 4 + 528 + 91 + 24 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47452891194 and 47452891203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47452891243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107116915 + ... + 107117357.

It is an arithmetic number, because the mean of its divisors is an integer number (244778976).

Almost surely, 247452891248 is an apocalyptic number.

47452891248 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 47452891248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88120431360).

47452891248 is an abundant number, since it is smaller than the sum of its proper divisors (128787971472).

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

47452891248 is a wasteful number, since it uses less digits than its factorization.

47452891248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 47452891248 in words is "forty-seven billion, four hundred fifty-two million, eight hundred ninety-one thousand, two hundred forty-eight".