Search a number
-
+
43568852320080 = 2436523531394409
BaseRepresentation
bin10011110100000001010011…
…11101110011111101010000
312201021010211020012021000000
421322000221331303331100
521202313002143220310
6232355130543130000
712114513530201313
oct1172005175637520
9181233736167000
1043568852320080
11129784a032a40a
124a77b285a3900
131b406a9986a19
14aa8a5aa1a97a
155084d4a514c0
hex27a029f73f50

43568852320080 has 1120 divisors, whose sum is σ = 162668976019200. Its totient is φ = 10822633316352.

The previous prime is 43568852320033. The next prime is 43568852320109. The reversal of 43568852320080 is 8002325886534.

It is a happy number.

43568852320080 is a `hidden beast` number, since 4 + 3 + 568 + 8 + 52 + 3 + 20 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43568852319999 and 43568852320026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9881796916 + ... + 9881801324.

It is an arithmetic number, because the mean of its divisors is an integer number (145240157160).

Almost surely, 243568852320080 is an apocalyptic number.

43568852320080 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 43568852320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81334488009600).

43568852320080 is an abundant number, since it is smaller than the sum of its proper divisors (119100123699120).

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

43568852320080 is a wasteful number, since it uses less digits than its factorization.

43568852320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 43568852320080 in words is "forty-three trillion, five hundred sixty-eight billion, eight hundred fifty-two million, three hundred twenty thousand, eighty".