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80826490000 = 245428432
BaseRepresentation
bin100101101000110100…
…0100101110010010000
321201121221022010010201
41023101220211302100
52311013040140000
6101044200104544
75560645554304
oct1132150456220
9251557263121
1080826490000
11313074a0273
12137b8765154
137811431159
143caa83bd04
152180d2996a
hex12d1a25c90

80826490000 has 75 divisors (see below), whose sum is σ = 195757871023. Its totient is φ = 32319224000.

The previous prime is 80826489967. The next prime is 80826490007. The reversal of 80826490000 is 9462808.

The square root of 80826490000 is 284300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6336796816 + 74489693184 = 79604^2 + 272928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80826490007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28428579 + ... + 28431421.

Almost surely, 280826490000 is an apocalyptic number.

80826490000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80826490000 is the 284300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80826490000

80826490000 is an abundant number, since it is smaller than the sum of its proper divisors (114931381023).

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

80826490000 is an frugal number, since it uses more digits than its factorization.

80826490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 80826490000 in words is "eighty billion, eight hundred twenty-six million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2843 5000 5686 10000 11372 14215 22744 28430 45488 56860 71075 113720 142150 227440 284300 355375 568600 710750 1137200 1421500 1776875 2843000 3553750 5686000 7107500 8082649 14215000 16165298 28430000 32330596 40413245 64661192 80826490 129322384 161652980 202066225 323305960 404132450 646611920 808264900 1010331125 1616529800 2020662250 3233059600 4041324500 5051655625 8082649000 10103311250 16165298000 20206622500 40413245000 80826490000