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20165420025 = 325294672
BaseRepresentation
bin10010110001111100…
…111110001111111001
31221001100210110212100
4102301330332033321
5312244321420100
613132554534013
71312501146012
oct226174761771
957040713770
1020165420025
118608943593
123aa9437309
131b94a453ca
14d94266009
157d0544400
hex4b1f3e3f9

20165420025 has 27 divisors (see below), whose sum is σ = 36122323471. Its totient is φ = 10753754640.

The previous prime is 20165420003. The next prime is 20165420029. The reversal of 20165420025 is 52002456102.

The square root of 20165420025 is 142005.

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

20165420025 is a `hidden beast` number, since 2 + 0 + 1 + 654 + 2 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7259551209 + 12905868816 = 85203^2 + 113604^2 .

It is a de Polignac number, because none of the positive numbers 2k-20165420025 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20165420029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2125342 + ... + 2134808.

Almost surely, 220165420025 is an apocalyptic number.

20165420025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20165420025 is the 142005-th square number.

20165420025 is the 71003-rd centered octagonal number.

It is an amenable number.

20165420025 is a deficient number, since it is larger than the sum of its proper divisors (15956903446).

20165420025 is an frugal number, since it uses more digits than its factorization.

20165420025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18950 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20165420025 its reverse (52002456102), we get a palindrome (72167876127).

The spelling of 20165420025 in words is "twenty billion, one hundred sixty-five million, four hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9467 28401 47335 85203 142005 236675 426015 710025 2130075 89624089 268872267 448120445 806616801 1344361335 2240602225 4033084005 6721806675 20165420025