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5152010000 = 24541015101
BaseRepresentation
bin1001100110001010…
…10110111100010000
3111022001102020002012
410303011112330100
541022403310000
62211121242052
7241446235214
oct46305267420
914261366065
105152010000
1122041a2405
12bb9493328
136414b2637
1436c350944
15202481735
hex133156f10

5152010000 has 100 divisors (see below), whose sum is σ = 12599501244. Its totient is φ = 2040000000.

The previous prime is 5152009927. The next prime is 5152010011. The reversal of 5152010000 is 102515.

It can be written as a sum of positive squares in 10 ways, for example, as 4326482176 + 825527824 = 65776^2 + 28732^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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, 1007450 + ... + 1012550.

Almost surely, 25152010000 is an apocalyptic number.

5152010000 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 5152010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299750622).

5152010000 is an abundant number, since it is smaller than the sum of its proper divisors (7447491244).

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

5152010000 is a wasteful number, since it uses less digits than its factorization.

5152010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 5152010000 is about 71777.5034394482. The cubic root of 5152010000 is about 1727.1321391492.

Adding to 5152010000 its reverse (102515), we get a palindrome (5152112515).

The spelling of 5152010000 in words is "five billion, one hundred fifty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 5101 8080 10000 10100 10202 12625 20200 20404 25250 25505 40400 40808 50500 51010 63125 81616 101000 102020 126250 127525 202000 204040 252500 255050 408080 505000 510100 515201 637625 1010000 1020200 1030402 1275250 2040400 2060804 2550500 2576005 3188125 4121608 5101000 5152010 6376250 8243216 10202000 10304020 12752500 12880025 20608040 25505000 25760050 41216080 51010000 51520100 64400125 103040200 128800250 206080400 257600500 322000625 515201000 644001250 1030402000 1288002500 2576005000 5152010000