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10050062500 = 22564012
BaseRepresentation
bin10010101110000011…
…11100100010100100
3221221101222001222001
421113001330202210
5131040304000000
64341131415044
7504023056522
oct112701744244
927841861861
1010050062500
114297aa8785
121b458b4484
13c4219815a
146b4a75312
153dc49b46a
hex25707c8a4

10050062500 has 63 divisors (see below), whose sum is σ = 22039190551. Its totient is φ = 4010000000.

The previous prime is 10050062489. The next prime is 10050062527. The reversal of 10050062500 is 526005001.

It is a happy number.

The square root of 10050062500 is 100250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 9386896996 + 663165504 = 96886^2 + 25752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25062300 + ... + 25062700.

Almost surely, 210050062500 is an apocalyptic number.

10050062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10050062500 is the 100250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050062500

10050062500 is an abundant number, since it is smaller than the sum of its proper divisors (11989128051).

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

10050062500 is an frugal number, since it uses more digits than its factorization.

10050062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 10050062500 its reverse (526005001), we get a palindrome (10576067501).

The spelling of 10050062500 in words is "ten billion, fifty million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 401 500 625 802 1250 1604 2005 2500 3125 4010 6250 8020 10025 12500 15625 20050 31250 40100 50125 62500 100250 160801 200500 250625 321602 501250 643204 804005 1002500 1253125 1608010 2506250 3216020 4020025 5012500 6265625 8040050 12531250 16080100 20100125 25062500 40200250 80400500 100500625 201001250 402002500 502503125 1005006250 2010012500 2512515625 5025031250 10050062500