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47495727552 = 2637132673121
BaseRepresentation
bin101100001110111101…
…110100100111000000
311112121001120221122110
4230032331310213000
51234232401240202
633452542135320
73300663010620
oct541675644700
9145531527573
1047495727552
11191631110a9
129256281540
13462bca5a00
142427cca880
15137eac326c
hexb0ef749c0

47495727552 has 336 divisors, whose sum is σ = 157887082752. Its totient is φ = 12335431680.

The previous prime is 47495727551. The next prime is 47495727557. The reversal of 47495727552 is 25572759474.

47495727552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 47495727492 and 47495727501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47495727551) 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, 15216552 + ... + 15219672.

It is an arithmetic number, because the mean of its divisors is an integer number (469902032).

Almost surely, 247495727552 is an apocalyptic number.

47495727552 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 47495727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78943541376).

47495727552 is an abundant number, since it is smaller than the sum of its proper divisors (110391355200).

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

47495727552 is a wasteful number, since it uses less digits than its factorization.

47495727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3213 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 57.

The spelling of 47495727552 in words is "forty-seven billion, four hundred ninety-five million, seven hundred twenty-seven thousand, five hundred fifty-two".