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47882228064 = 253113710911243
BaseRepresentation
bin101100100110000000…
…001101000101100000
311120120222212012200020
4230212000031011200
51241030322244224
633555150153440
73313365136356
oct544600150540
9146528765606
1047882228064
11193412a6710
1293437b2880
13469109b938
1424633797d6
1513a39bbc79
hexb2600d160

47882228064 has 192 divisors, whose sum is σ = 142127758080. Its totient is φ = 13986846720.

The previous prime is 47882228059. The next prime is 47882228081. The reversal of 47882228064 is 46082228874.

It is a junction number, because it is equal to n+sod(n) for n = 47882227998 and 47882228016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253227 + ... + 4264469.

It is an arithmetic number, because the mean of its divisors is an integer number (740248740).

Almost surely, 247882228064 is an apocalyptic number.

47882228064 is a gapful number since it is divisible by the number (44) 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 47882228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71063879040).

47882228064 is an abundant number, since it is smaller than the sum of its proper divisors (94245530016).

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

47882228064 is a wasteful number, since it uses less digits than its factorization.

47882228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11413 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 47882228064 in words is "forty-seven billion, eight hundred eighty-two million, two hundred twenty-eight thousand, sixty-four".