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10065025000 = 2355402601
BaseRepresentation
bin10010101111110110…
…00001011111101000
3221222110010020122201
421113323001133220
5131103121300000
64342424225544
7504264205132
oct112773013750
927873106581
1010065025000
1142a5498288
121b4a90b2b4
13c453066c4
146b6a4c052
153dd95496a
hex257ec17e8

10065025000 has 48 divisors (see below), whose sum is σ = 23588451180. Its totient is φ = 4026000000.

The previous prime is 10065024929. The next prime is 10065025001. The reversal of 10065025000 is 52056001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 208109476 + 9856915524 = 14426^2 + 99282^2 .

It is not an unprimeable number, because it can be changed into a prime (10065025001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176301 + ... + 226300.

Almost surely, 210065025000 is an apocalyptic number.

10065025000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10065025000 is an abundant number, since it is smaller than the sum of its proper divisors (13523426180).

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

10065025000 is an frugal number, since it uses more digits than its factorization.

10065025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402632 (or 402608 counting only the distinct ones).

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

The spelling of 10065025000 in words is "ten billion, sixty-five million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 402601 805202 1610404 2013005 3220808 4026010 8052020 10065025 16104040 20130050 40260100 50325125 80520200 100650250 201300500 251625625 402601000 503251250 1006502500 1258128125 2013005000 2516256250 5032512500 10065025000