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47473064352 = 25327228311887
BaseRepresentation
bin101100001101100111…
…010111100110100000
311112112110221112120200
4230031213113212200
51234211101024402
633450412305200
73300266250300
oct541547274640
9145473845520
1047473064352
111915134198a
12924a772200
13462739c32c
142424cab600
15137cae821c
hexb0d9d79a0

47473064352 has 216 divisors, whose sum is σ = 157610771136. Its totient is φ = 13514667264.

The previous prime is 47473064273. The next prime is 47473064369. The reversal of 47473064352 is 25346037474.

47473064352 is a `hidden beast` number, since 474 + 73 + 0 + 64 + 3 + 52 = 666.

47473064352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47473064298 and 47473064307.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3987753 + ... + 3999639.

It is an arithmetic number, because the mean of its divisors is an integer number (729679496).

Almost surely, 247473064352 is an apocalyptic number.

47473064352 is a gapful number since it is divisible by the number (42) 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 47473064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78805385568).

47473064352 is an abundant number, since it is smaller than the sum of its proper divisors (110137706784).

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

47473064352 is a wasteful number, since it uses less digits than its factorization.

47473064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12200 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 47473064352 in words is "forty-seven billion, four hundred seventy-three million, sixty-four thousand, three hundred fifty-two".