Search a number
-
+
47634867231840 = 25345719139198817
BaseRepresentation
bin10101101010010110110110…
…10101110001110001100000
320020122211220210120221110000
422311023123111301301200
522220422202002404330
6245151053401540000
713014335262535140
oct1265133325616140
9206584823527400
1047634867231840
11141a5919794299
125413b587a4600
132076c443c9805
14ba977b5c0920
1557915b340560
hex2b52db571c60

47634867231840 has 960 divisors, whose sum is σ = 203695244121600. Its totient is φ = 10240659062784.

The previous prime is 47634867231823. The next prime is 47634867231869. The reversal of 47634867231840 is 4813276843674.

47634867231840 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 486 + 72 + 3 + 1 + 84 + 0 = 666.

47634867231840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 239492112 + ... + 239690928.

It is an arithmetic number, because the mean of its divisors is an integer number (212182545960).

Almost surely, 247634867231840 is an apocalyptic number.

47634867231840 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 47634867231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101847622060800).

47634867231840 is an abundant number, since it is smaller than the sum of its proper divisors (156060376889760).

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

47634867231840 is a wasteful number, since it uses less digits than its factorization.

47634867231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199009 (or 198992 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 47634867231840 in words is "forty-seven trillion, six hundred thirty-four billion, eight hundred sixty-seven million, two hundred thirty-one thousand, eight hundred forty".