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12434511410 = 256481191861
BaseRepresentation
bin10111001010010011…
…11001011000110010
31012002120201121221122
423211021321120302
5200431213331120
65413510422242
7620065413566
oct134511713062
935076647848
1012434511410
115300a59512
1224b0361982
13123219a679
1485d6076a6
154cb99ea25
hex2e5279632

12434511410 has 16 divisors (see below), whose sum is σ = 22385690712. Its totient is φ = 4973011200.

The previous prime is 12434511407. The next prime is 12434511437. The reversal of 12434511410 is 1411543421.

12434511410 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 12419542249 + 14969161 = 111443^2 + 3869^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12434511410.

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, 31121 + ... + 160740.

Almost surely, 212434511410 is an apocalyptic number.

12434511410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12434511410 is a deficient number, since it is larger than the sum of its proper divisors (9951179302).

12434511410 is a wasteful number, since it uses less digits than its factorization.

12434511410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198349.

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 12434511410 in words is "twelve billion, four hundred thirty-four million, five hundred eleven thousand, four hundred ten".

Divisors: 1 2 5 10 6481 12962 32405 64810 191861 383722 959305 1918610 1243451141 2486902282 6217255705 12434511410