Search a number
-
+
243020891520 = 27345112174353
BaseRepresentation
bin1110001001010100101…
…1001000010110000000
3212020021112200102010000
43202111023020112000
512440201322012040
6303350421040000
723362166331501
oct3422513102600
9766245612100
10243020891520
1194078a59800
123b123256000
1319bbc1bc0c4
14ba95972ba8
1564c527a130
hex38952c8580

243020891520 has 1920 divisors, whose sum is σ = 1053046098720. Its totient is φ = 53137244160.

The previous prime is 243020891483. The next prime is 243020891591. The reversal of 243020891520 is 25198020342.

It is a happy number.

243020891520 is a `hidden beast` number, since 2 + 4 + 30 + 20 + 89 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4585299814 + ... + 4585299866.

Almost surely, 2243020891520 is an apocalyptic number.

243020891520 is a gapful number since it is divisible by the number (20) 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 243020891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526523049360).

243020891520 is an abundant number, since it is smaller than the sum of its proper divisors (810025207200).

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

243020891520 is a wasteful number, since it uses less digits than its factorization.

243020891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 243020891520 in words is "two hundred forty-three billion, twenty million, eight hundred ninety-one thousand, five hundred twenty".