Search a number
-
+
43683389417472 = 2113731194916811
BaseRepresentation
bin10011110111010110101001…
…11010001010100000000000
312201200002110111221122221020
421323223110322022200000
521211202040142324342
6232523512210425440
712126010053361050
oct1173532472124000
9181602414848836
1043683389417472
1112a12026558992
124a96172892280
131b4b431148a2c
14ab0404605560
1550b48a1140ec
hex27bad4e8a800

43683389417472 has 384 divisors, whose sum is σ = 137469975552000. Its totient is φ = 12071441203200.

The previous prime is 43683389417401. The next prime is 43683389417483. The reversal of 43683389417472 is 27471498338634.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 43683389417397 and 43683389417406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598491947 + ... + 2598508757.

It is an arithmetic number, because the mean of its divisors is an integer number (357994728000).

Almost surely, 243683389417472 is an apocalyptic number.

43683389417472 is a gapful number since it is divisible by the number (42) 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 43683389417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68734987776000).

43683389417472 is an abundant number, since it is smaller than the sum of its proper divisors (93786586134528).

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

43683389417472 is a wasteful number, since it uses less digits than its factorization.

43683389417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18803 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 69.

The spelling of 43683389417472 in words is "forty-three trillion, six hundred eighty-three billion, three hundred eighty-nine million, four hundred seventeen thousand, four hundred seventy-two".