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25755505000 = 235410151001
BaseRepresentation
bin10111111111001001…
…011101000101101000
32110110221112012211121
4113333021131011220
5410221402130000
615455405505024
71601150115601
oct277711350550
973427465747
1025755505000
11aa17347125
124ba9572174
132575c0a8b4
14136484cda8
15a0b1aab1a
hex5ff25d168

25755505000 has 80 divisors (see below), whose sum is σ = 60943819860. Its totient is φ = 10200000000.

The previous prime is 25755504991. The next prime is 25755505007. The reversal of 25755505000 is 50555752.

It can be written as a sum of positive squares in 10 ways, for example, as 773173636 + 24982331364 = 27806^2 + 158058^2 .

It is not an unprimeable number, because it can be changed into a prime (25755505007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479500 + ... + 530500.

Almost surely, 225755505000 is an apocalyptic number.

25755505000 is a gapful number since it is divisible by the number (20) 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 25755505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30471909930).

25755505000 is an abundant number, since it is smaller than the sum of its proper divisors (35188314860).

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

25755505000 is a wasteful number, since it uses less digits than its factorization.

25755505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51128 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 43750, while the sum is 34.

The spelling of 25755505000 in words is "twenty-five billion, seven hundred fifty-five million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10100 12625 20200 25250 50500 51001 63125 101000 102002 126250 204004 252500 255005 408008 505000 510010 1020020 1275025 2040040 2550050 5100100 5151101 6375125 10200200 10302202 12750250 20604404 25500500 25755505 31875625 41208808 51001000 51511010 63751250 103022020 127502500 128777525 206044040 255005000 257555050 515110100 643887625 1030220200 1287775250 2575550500 3219438125 5151101000 6438876250 12877752500 25755505000