Search a number
-
+
47348237664 = 2534713474271
BaseRepresentation
bin101100000110001011…
…001100010101100000
311112012210001200120000
4230012023030111200
51233432122101124
633430153020000
73264222244140
oct540613142540
9145183050500
1047348237664
1119097933832
1292149b4600
1346075754a0
142412496920
151371b8c6c9
hexb062cc560

47348237664 has 480 divisors, whose sum is σ = 175071891456. Its totient is φ = 12218895360.

The previous prime is 47348237641. The next prime is 47348237669. The reversal of 47348237664 is 46673284374.

47348237664 is a `hidden beast` number, since 4 + 7 + 348 + 237 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47348237664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47348237669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11083849 + ... + 11088119.

Almost surely, 247348237664 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 47348237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87535945728).

47348237664 is an abundant number, since it is smaller than the sum of its proper divisors (127723653792).

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

47348237664 is a wasteful number, since it uses less digits than its factorization.

47348237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4343 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 47348237664 in words is "forty-seven billion, three hundred forty-eight million, two hundred thirty-seven thousand, six hundred sixty-four".