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20425010625 = 34543131289
BaseRepresentation
bin10011000001011011…
…001110110111000001
31221201110021001020000
4103001123032313001
5313312300320000
613214430510213
71322102503635
oct230133166701
957643231200
1020425010625
118731427878
123b60365369
131c06765206
14dba91adc5
157e8220000
hex4c16cedc1

20425010625 has 100 divisors (see below), whose sum is σ = 38278575060. Its totient is φ = 10850112000.

The previous prime is 20425010611. The next prime is 20425010633. The reversal of 20425010625 is 52601052402.

20425010625 is a `hidden beast` number, since 2 + 0 + 4 + 25 + 0 + 10 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 18441911601 + 1983099024 = 135801^2 + 44532^2 .

It is not a de Polignac number, because 20425010625 - 27 = 20425010497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 15844981 + ... + 15846269.

Almost surely, 220425010625 is an apocalyptic number.

20425010625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20425010625 is a deficient number, since it is larger than the sum of its proper divisors (17853564435).

20425010625 is an equidigital number, since it uses as much as digits as its factorization.

20425010625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1610 counting only the distinct ones).

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

The spelling of 20425010625 in words is "twenty billion, four hundred twenty-five million, ten thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 313 375 405 625 675 939 1125 1289 1565 1875 2025 2817 3375 3867 4695 5625 6445 7825 8451 10125 11601 14085 16875 19335 23475 25353 32225 34803 39125 42255 50625 58005 70425 96675 104409 117375 126765 161125 174015 195625 211275 290025 352125 403457 483375 522045 586875 633825 805625 870075 1056375 1210371 1450125 1760625 2017285 2416875 2610225 3169125 3631113 4350375 5281875 6051855 7250625 10086425 10893339 13051125 15845625 18155565 21751875 30259275 32680017 50432125 54466695 65255625 90777825 151296375 163400085 252160625 272333475 453889125 756481875 817000425 1361667375 2269445625 4085002125 6808336875 20425010625