Search a number
-
+
80702189568 = 2123971113
BaseRepresentation
bin100101100101000111…
…0011011000000000000
321201022021102000000000
41023022032123000000
52310234230031233
6101024000000000
75554606202340
oct1131216330000
9251267360000
1080702189568
1131253311540
1213783000000
1377c175c9c0
143c98122d20
152174e74d13
hex12ca39b000

80702189568 has 1040 divisors, whose sum is σ = 325020976896. Its totient is φ = 19349176320.

The previous prime is 80702189471. The next prime is 80702189569. The reversal of 80702189568 is 86598120708.

80702189568 is a `hidden beast` number, since 8 + 0 + 70 + 2 + 1 + 8 + 9 + 568 = 666.

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 (80702189569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6207860730 + ... + 6207860742.

Almost surely, 280702189568 is an apocalyptic number.

80702189568 is a gapful number since it is divisible by the number (88) 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 80702189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162510488448).

80702189568 is an abundant number, since it is smaller than the sum of its proper divisors (244318787328).

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

80702189568 is an frugal number, since it uses more digits than its factorization.

80702189568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 80702189568 in words is "eighty billion, seven hundred two million, one hundred eighty-nine thousand, five hundred sixty-eight".