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12414256460 = 2251736512519
BaseRepresentation
bin10111000111111001…
…01000010101001100
31012001011121120101022
423203330220111030
5200411022201320
65411504333312
7616431303344
oct134374502514
935034546338
1012414256460
1152a0584691
1224a5614238
13122ac281a8
1485aa53d24
154c9ced325
hex2e3f2854c

12414256460 has 24 divisors (see below), whose sum is σ = 27603465120. Its totient is φ = 4673602304.

The previous prime is 12414256441. The next prime is 12414256471. The reversal of 12414256460 is 6465241421.

12414256460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124142564602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12414256460.

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 7 ways as a sum of consecutive naturals, for example, 18255920 + ... + 18256599.

It is an arithmetic number, because the mean of its divisors is an integer number (1150144380).

Almost surely, 212414256460 is an apocalyptic number.

12414256460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414256460 is an abundant number, since it is smaller than the sum of its proper divisors (15189208660).

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

12414256460 is a wasteful number, since it uses less digits than its factorization.

12414256460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36512545 (or 36512543 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 12414256460 its reverse (6465241421), we get a palindrome (18879497881).

The spelling of 12414256460 in words is "twelve billion, four hundred fourteen million, two hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 36512519 73025038 146050076 182562595 365125190 620712823 730250380 1241425646 2482851292 3103564115 6207128230 12414256460