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12425560900 = 22527121572
BaseRepresentation
bin10111001001001111…
…10000001101000100
31012001221212220011021
423210213300031010
5200421420422100
65412550520524
7616626345034
oct134447601504
935057786137
1012425560900
1152a69a58a5
1224a9366144
1312303856cc
1485c3578c4
154cacd2a1a
hex2e49f0344

12425560900 has 81 divisors (see below), whose sum is σ = 27523887447. Its totient is φ = 4869009600.

The previous prime is 12425560897. The next prime is 12425560909. The reversal of 12425560900 is 906552421.

It is a happy number.

The square root of 12425560900 is 111470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1502802756 + 10922758144 = 38766^2 + 104512^2 .

It is a super-5 number, since 5×124255609005 (a number of 52 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12425560909) 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, 79143622 + ... + 79143778.

Almost surely, 212425560900 is an apocalyptic number.

12425560900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12425560900 is the 111470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425560900

12425560900 is an abundant number, since it is smaller than the sum of its proper divisors (15098326547).

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

12425560900 is an equidigital number, since it uses as much as digits as its factorization.

12425560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12425560900 in words is "twelve billion, four hundred twenty-five million, five hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 157 284 314 355 628 710 785 1420 1570 1775 3140 3550 3925 5041 7100 7850 10082 11147 15700 20164 22294 24649 25205 44588 49298 50410 55735 98596 100820 111470 123245 126025 222940 246490 252050 278675 492980 504100 557350 616225 791437 1114700 1232450 1582874 1750079 2464900 3165748 3500158 3957185 7000316 7914370 8750395 15828740 17500790 19785925 35001580 39571850 43751975 79143700 87503950 124255609 175007900 248511218 497022436 621278045 1242556090 2485112180 3106390225 6212780450 12425560900