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10006925000 = 2355400277
BaseRepresentation
bin10010101000111010…
…11000111011001000
3221211101210110102212
421110131120323020
5130443233100000
64332551044252
7502660313312
oct112435307310
927741713385
1010006925000
114275714956
121b33370688
13c362734c7
146ad0467b2
153d87c9c35
hex254758ec8

10006925000 has 48 divisors (see below), whose sum is σ = 23452288020. Its totient is φ = 4002760000.

The previous prime is 10006924987. The next prime is 10006925009. The reversal of 10006925000 is 52960001.

It can be written as a sum of positive squares in 6 ways, for example, as 12124324 + 9994800676 = 3482^2 + 99974^2 .

It is not an unprimeable number, because it can be changed into a prime (10006925009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175139 + ... + 225138.

Almost surely, 210006925000 is an apocalyptic number.

10006925000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006925000 is an abundant number, since it is smaller than the sum of its proper divisors (13445363020).

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

10006925000 is an frugal number, since it uses more digits than its factorization.

10006925000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400308 (or 400284 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The spelling of 10006925000 in words is "ten billion, six million, nine hundred 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 400277 800554 1601108 2001385 3202216 4002770 8005540 10006925 16011080 20013850 40027700 50034625 80055400 100069250 200138500 250173125 400277000 500346250 1000692500 1250865625 2001385000 2501731250 5003462500 10006925000