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47055022848000 = 211345319711519
BaseRepresentation
bin10101011001011110110011…
…11010111111100000000000
320011121102020110002021110000
422230233121322333200000
522131422141322114000
6244024440140240000
712624420221564346
oct1254573172774000
9204542213067400
1047055022848000
1113aa1a17748512
12533b6b3b40000
1320343674611cb
14b8969216d996
15569020c2c000
hex2acbd9ebf800

47055022848000 has 960 divisors, whose sum is σ = 176311866931200. Its totient is φ = 12483226828800.

The previous prime is 47055022847887. The next prime is 47055022848049. The reversal of 47055022848000 is 84822055074.

47055022848000 is a `hidden beast` number, since 4 + 70 + 550 + 2 + 28 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×470550228480002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4084986241 + ... + 4084997759.

It is an arithmetic number, because the mean of its divisors is an integer number (183658194720).

Almost surely, 247055022848000 is an apocalyptic number.

47055022848000 is a gapful number since it is divisible by the number (40) 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 47055022848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88155933465600).

47055022848000 is an abundant number, since it is smaller than the sum of its proper divisors (129256844083200).

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

47055022848000 is a wasteful number, since it uses less digits than its factorization.

47055022848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11765 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 47055022848000 in words is "forty-seven trillion, fifty-five billion, twenty-two million, eight hundred forty-eight thousand".