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47327938560 = 211325773363
BaseRepresentation
bin101100000100111101…
…110000100000000000
311112011100212101102100
4230010331300200000
51233411423013220
633424145550400
73263554561110
oct540475604000
9145140771370
1047327938560
1119087429811
12920a045400
1346032b8b96
14240d8d1040
15136eeccd90
hexb04f70800

47327938560 has 288 divisors, whose sum is σ = 187465561920. Its totient is φ = 10817667072.

The previous prime is 47327938543. The next prime is 47327938561. The reversal of 47327938560 is 6583972374.

47327938560 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 79 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 47327938497 and 47327938506.

It is not an unprimeable number, because it can be changed into a prime (47327938561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608439 + ... + 681801.

It is an arithmetic number, because the mean of its divisors is an integer number (650922090).

Almost surely, 247327938560 is an apocalyptic number.

47327938560 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 47327938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93732780960).

47327938560 is an abundant number, since it is smaller than the sum of its proper divisors (140137623360).

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

47327938560 is a wasteful number, since it uses less digits than its factorization.

47327938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73403 (or 73380 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 47327938560 in words is "forty-seven billion, three hundred twenty-seven million, nine hundred thirty-eight thousand, five hundred sixty".