Search a number
-
+
47455599660 = 223571923332549
BaseRepresentation
bin101100001100100100…
…101111110000101100
311112111021002020112020
4230030210233300230
51234142113142120
633444550110140
73266664640650
oct541444576054
9145437066466
1047455599660
11191424a3457
12924494b350
134623895bb1
142422842a60
15137b2e8640
hexb0c92fc2c

47455599660 has 192 divisors, whose sum is σ = 159981696000. Its totient is φ = 10267665408.

The previous prime is 47455599599. The next prime is 47455599661. The reversal of 47455599660 is 6699555474.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 47455599594 and 47455599603.

It is not an unprimeable number, because it can be changed into a prime (47455599661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18616066 + ... + 18618614.

It is an arithmetic number, because the mean of its divisors is an integer number (833238000).

Almost surely, 247455599660 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 47455599660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79990848000).

47455599660 is an abundant number, since it is smaller than the sum of its proper divisors (112526096340).

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

47455599660 is a wasteful number, since it uses less digits than its factorization.

47455599660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 47455599660 in words is "forty-seven billion, four hundred fifty-five million, five hundred ninety-nine thousand, six hundred sixty".