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20605705000 = 23544121141
BaseRepresentation
bin10011001100001100…
…100001101100101000
31222012001021021022021
4103030030201230220
5314200030030000
613244403434224
71326425413456
oct231414415450
958161237267
1020605705000
118814424171
123bb0985974
131c3502016a
14dd69159d6
1580901411a
hex4cc321b28

20605705000 has 40 divisors (see below), whose sum is σ = 48279178530. Its totient is φ = 8242280000.

The previous prime is 20605704997. The next prime is 20605705007. The reversal of 20605705000 is 50750602.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 40424164 + 20565280836 = 6358^2 + 143406^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20605705007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2055571 + ... + 2065570.

Almost surely, 220605705000 is an apocalyptic number.

20605705000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20605705000 is an abundant number, since it is smaller than the sum of its proper divisors (27673473530).

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

20605705000 is an equidigital number, since it uses as much as digits as its factorization.

20605705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121167 (or 4121148 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The spelling of 20605705000 in words is "twenty billion, six hundred five million, seven hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 4121141 8242282 16484564 20605705 32969128 41211410 82422820 103028525 164845640 206057050 412114100 515142625 824228200 1030285250 2060570500 2575713125 4121141000 5151426250 10302852500 20605705000