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20415116225 = 5272294712227
BaseRepresentation
bin10011000000110101…
…011111001111000001
31221200202122100122202
4103000311133033001
5313302232204400
613213434442545
71321622424200
oct230065371701
957622570582
1020415116225
118726889a89
123b58b93455
131c046ac73a
14db94a3237
157e74184d5
hex4c0d5f3c1

20415116225 has 72 divisors (see below), whose sum is σ = 31113901440. Its totient is φ = 13227553920.

The previous prime is 20415116207. The next prime is 20415116231. The reversal of 20415116225 is 52261151402.

It is not a de Polignac number, because 20415116225 - 28 = 20415115969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 71 ways as a sum of consecutive naturals, for example, 1663562 + ... + 1675788.

It is an arithmetic number, because the mean of its divisors is an integer number (432137520).

Almost surely, 220415116225 is an apocalyptic number.

20415116225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20415116225 is a deficient number, since it is larger than the sum of its proper divisors (10698785215).

20415116225 is a wasteful number, since it uses less digits than its factorization.

20415116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 20415116225 its reverse (52261151402), we get a palindrome (72676267627).

The spelling of 20415116225 in words is "twenty billion, four hundred fifteen million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 47 49 145 175 203 235 245 329 725 1015 1175 1225 1363 1421 1645 2303 5075 6815 7105 8225 9541 11515 12227 34075 35525 47705 57575 61135 66787 85589 238525 305675 333935 354583 427945 574669 599123 1669675 1772915 2139725 2482081 2873345 2995615 4022683 8864575 12410405 14366725 14978075 16665401 17374567 20113415 28158781 62052025 83327005 86872835 100567075 116657807 140793905 416635025 434364175 583289035 703969525 816604649 2916445175 4083023245 20415116225