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5084845000 = 235410110069
BaseRepresentation
bin1001011110001010…
…01001001111001000
3111010101000220000121
410233011021033020
540403210020000
62200321513024
7240002316664
oct45705111710
914111026017
105084845000
11217a298344
12b9aaa2774
136305c7331
143634698a4
151eb615b1a
hex12f1493c8

5084845000 has 80 divisors (see below), whose sum is σ = 12032945100. Its totient is φ = 2013600000.

The previous prime is 5084844997. The next prime is 5084845013. The reversal of 5084845000 is 5484805.

It can be written as a sum of positive squares in 10 ways, for example, as 72488196 + 5012356804 = 8514^2 + 70798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499966 + ... + 510034.

Almost surely, 25084845000 is an apocalyptic number.

5084845000 is a gapful number since it is divisible by the number (50) 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 5084845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016472550).

5084845000 is an abundant number, since it is smaller than the sum of its proper divisors (6948100100).

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

5084845000 is a wasteful number, since it uses less digits than its factorization.

5084845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 5084845000 is about 71308.0991192445. The cubic root of 5084845000 is about 1719.5939414625.

It can be divided in two parts, 5084 and 845000, that added together give a square (850084 = 9222).

The spelling of 5084845000 in words is "five billion, eighty-four million, eight hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10069 10100 12625 20138 20200 25250 40276 50345 50500 63125 80552 100690 101000 126250 201380 251725 252500 402760 503450 505000 1006900 1016969 1258625 2013800 2033938 2517250 4067876 5034500 5084845 6293125 8135752 10069000 10169690 12586250 20339380 25172500 25424225 40678760 50345000 50848450 101696900 127121125 203393800 254242250 508484500 635605625 1016969000 1271211250 2542422500 5084845000