Search a number
-
+
47626783380 = 223451122291061
BaseRepresentation
bin101100010110110001…
…110000101010010100
311112221012012021110000
4230112301300222110
51240014424032010
633513543131300
73304143656601
oct542661605224
9145835167400
1047626783380
1119220094300
129292143b30
1346501a0c37
14243b4836a8
15138b35e7c0
hexb16c70a94

47626783380 has 360 divisors, whose sum is σ = 165096799560. Its totient is φ = 11484633600.

The previous prime is 47626783343. The next prime is 47626783387. The reversal of 47626783380 is 8338762674.

47626783380 is a `hidden beast` number, since 4 + 7 + 626 + 7 + 8 + 3 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18021451536 + 29605331844 = 134244^2 + 172062^2 .

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 (47626783387) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44888050 + ... + 44889110.

It is an arithmetic number, because the mean of its divisors is an integer number (458602221).

Almost surely, 247626783380 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 47626783380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82548399780).

47626783380 is an abundant number, since it is smaller than the sum of its proper divisors (117470016180).

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

47626783380 is a wasteful number, since it uses less digits than its factorization.

47626783380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 47626783380 in words is "forty-seven billion, six hundred twenty-six million, seven hundred eighty-three thousand, three hundred eighty".