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47600863205064 = 23313247798093907
BaseRepresentation
bin10101101001010111100001…
…00010101101011011001000
320020112121011000000101220220
422310223300202231123020
522214343031440030224
6245123311253350040
713012022523221631
oct1264536042553310
9206477130011826
1047600863205064
111419245a366724
125409448938320
132073985633200
14ba7c73494888
1557831ae48279
hex2b4af08ad6c8

47600863205064 has 384 divisors, whose sum is σ = 133466766336000. Its totient is φ = 14132227479552.

The previous prime is 47600863205053. The next prime is 47600863205087. The reversal of 47600863205064 is 46050236800674.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47600863204998 and 47600863205016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12183479799 + ... + 12183483705.

It is an arithmetic number, because the mean of its divisors is an integer number (347569704000).

Almost surely, 247600863205064 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 47600863205064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66733383168000).

47600863205064 is an abundant number, since it is smaller than the sum of its proper divisors (85865903130936).

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

47600863205064 is a wasteful number, since it uses less digits than its factorization.

47600863205064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 47600863205064 in words is "forty-seven trillion, six hundred billion, eight hundred sixty-three million, two hundred five thousand, sixty-four".