Search a number
-
+
80315059200 = 2103522936061
BaseRepresentation
bin100101011001100100…
…1101000110000000000
321200022021221201222020
41022303021220300000
52303441123343300
6100521330241440
75542165511355
oct1126311506000
9250267851866
1080315059200
1131074836792
1213695426280
13775c4a618c
143c5c94c62c
152150ea48a0
hex12b3268c00

80315059200 has 264 divisors, whose sum is σ = 274606360080. Its totient is φ = 20678246400.

The previous prime is 80315059177. The next prime is 80315059241. The reversal of 80315059200 is 295051308.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2209170 + ... + 2245230.

Almost surely, 280315059200 is an apocalyptic number.

80315059200 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 80315059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303180040).

80315059200 is an abundant number, since it is smaller than the sum of its proper divisors (194291300880).

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

80315059200 is a wasteful number, since it uses less digits than its factorization.

80315059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36123 (or 36100 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 80315059200 in words is "eighty billion, three hundred fifteen million, fifty-nine thousand, two hundred".