Search a number
-
+
47473568640 = 273553143229
BaseRepresentation
bin101100001101101001…
…010010101110000000
311112112111220011100000
4230031221102232000
51234211213144030
633450431200000
73300303450441
oct541551225600
9145474804300
1047473568640
1119151656853
12924a976000
134627517a24
142424d9d2c8
15137cb97860
hexb0da52b80

47473568640 has 768 divisors, whose sum is σ = 180352972800. Its totient is φ = 11914076160.

The previous prime is 47473568627. The next prime is 47473568647. The reversal of 47473568640 is 4686537474.

47473568640 is a `hidden beast` number, since 4 + 7 + 4 + 73 + 568 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47473568647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207308046 + ... + 207308274.

It is an arithmetic number, because the mean of its divisors is an integer number (234834600).

Almost surely, 247473568640 is an apocalyptic number.

47473568640 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 47473568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90176486400).

47473568640 is an abundant number, since it is smaller than the sum of its proper divisors (132879404160).

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

47473568640 is a wasteful number, since it uses less digits than its factorization.

47473568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 47473568640 in words is "forty-seven billion, four hundred seventy-three million, five hundred sixty-eight thousand, six hundred forty".