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52312010000 = 24546418161
BaseRepresentation
bin110000101110000010…
…011110110100010000
312000000201021110002212
4300232002132310100
51324113333310000
640010511531252
73531224514455
oct605602366420
9160021243085
1052312010000
1120204847418
12a17b229b28
134c18a5b593
14276380782c
151562839c35
hexc2e09ed10

52312010000 has 100 divisors (see below), whose sum is σ = 126865736844. Its totient is φ = 20889600000.

The previous prime is 52312009999. The next prime is 52312010011. The reversal of 52312010000 is 1021325.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 32157096976 + 20154913024 = 179324^2 + 141968^2 .

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

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, 6405920 + ... + 6414080.

Almost surely, 252312010000 is an apocalyptic number.

52312010000 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 52312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63432868422).

52312010000 is an abundant number, since it is smaller than the sum of its proper divisors (74553726844).

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

52312010000 is an equidigital number, since it uses as much as digits as its factorization.

52312010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 52312010000 its reverse (1021325), we get a palindrome (52313031325).

The spelling of 52312010000 in words is "fifty-two billion, three hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 641 1000 1250 1282 2000 2500 2564 3205 5000 5128 6410 8161 10000 10256 12820 16025 16322 25640 32050 32644 40805 51280 64100 65288 80125 81610 128200 130576 160250 163220 204025 256400 320500 326440 400625 408050 641000 652880 801250 816100 1020125 1282000 1602500 1632200 2040250 3205000 3264400 4080500 5100625 5231201 6410000 8161000 10201250 10462402 16322000 20402500 20924804 26156005 40805000 41849608 52312010 81610000 83699216 104624020 130780025 209248040 261560050 418496080 523120100 653900125 1046240200 1307800250 2092480400 2615600500 3269500625 5231201000 6539001250 10462402000 13078002500 26156005000 52312010000