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47963393632 = 25721117374421
BaseRepresentation
bin101100101010110101…
…110100111001100000
311120210122120211220101
4230222311310321200
51241212112044012
634011205552144
73315402055600
oct545265647140
9146718524811
1047963393632
11193830a35a0
129366a15654
1346a4b496bb
142470066c00
1513aaba0d57
hexb2ad74e60

47963393632 has 288 divisors, whose sum is σ = 130338131616. Its totient is φ = 17108582400.

The previous prime is 47963393579. The next prime is 47963393633. The reversal of 47963393632 is 23639336974.

47963393632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47963393633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10846782 + ... + 10851202.

It is an arithmetic number, because the mean of its divisors is an integer number (452562957).

Almost surely, 247963393632 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 47963393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169065808).

47963393632 is an abundant number, since it is smaller than the sum of its proper divisors (82374737984).

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

47963393632 is a wasteful number, since it uses less digits than its factorization.

47963393632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4495 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 55.

The spelling of 47963393632 in words is "forty-seven billion, nine hundred sixty-three million, three hundred ninety-three thousand, six hundred thirty-two".