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12414260500 = 225324828521
BaseRepresentation
bin10111000111111001…
…01001010100010100
31012001011121202220221
423203330221110110
5200411022314000
65411504404124
7616431321205
oct134374512424
935034552827
1012414260500
1152a0587724
1224a5616644
13122ac29c95
1485aa555ac
154c9cee61a
hex2e3f29514

12414260500 has 24 divisors (see below), whose sum is σ = 27112746024. Its totient is φ = 4965704000.

The previous prime is 12414260491. The next prime is 12414260501. The reversal of 12414260500 is 506241421.

It is a happy number.

12414260500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1256986116 + 11157274384 = 35454^2 + 105628^2 .

It is a super-2 number, since 2×124142605002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414260501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12413761 + ... + 12414760.

It is an arithmetic number, because the mean of its divisors is an integer number (1129697751).

Almost surely, 212414260500 is an apocalyptic number.

12414260500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414260500 is an abundant number, since it is smaller than the sum of its proper divisors (14698485524).

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

12414260500 is a wasteful number, since it uses less digits than its factorization.

12414260500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24828540 (or 24828528 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 12414260500 in words is "twelve billion, four hundred fourteen million, two hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 24828521 49657042 99314084 124142605 248285210 496570420 620713025 1241426050 2482852100 3103565125 6207130250 12414260500