Search a number
-
+
80880808000800 = 25352234573206197
BaseRepresentation
bin10010011000111110000111…
…110101000111110100100000
3101121101010111120111112100010
4102120332013311013310200
541100122343322011200
6444004044044524520
723015305551442413
oct2230760765076440
9347333446445303
1080880808000800
11238533a3615975
1290a32aab50740
133619048468182
1415d891b103b7a
15953d67102150
hex498f87d47d20

80880808000800 has 288 divisors, whose sum is σ = 275314631985792. Its totient is φ = 20585317294080.

The previous prime is 80880808000787. The next prime is 80880808000801. The reversal of 80880808000800 is 800080808808.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 80880808000800.

It is not an unprimeable number, because it can be changed into a prime (80880808000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23623302 + ... + 26829498.

It is an arithmetic number, because the mean of its divisors is an integer number (955953583284).

Almost surely, 280880808000800 is an apocalyptic number.

80880808000800 is a gapful number since it is divisible by the number (80) 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 80880808000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137657315992896).

80880808000800 is an abundant number, since it is smaller than the sum of its proper divisors (194433823984992).

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

80880808000800 is a wasteful number, since it uses less digits than its factorization.

80880808000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206700 (or 3206687 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The spelling of 80880808000800 in words is "eighty trillion, eight hundred eighty billion, eight hundred eight million, eight hundred", and thus it is an aban number.