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12463036421 = 112103000301
BaseRepresentation
bin10111001101101101…
…01101100000000101
31012011120101211220112
423212312231200011
5201011014131141
65420410042405
7620563030103
oct134666554005
935146354815
1012463036421
115316071800
1224b9a19405
131238077184
14863310c73
154ce2367eb
hex2e6dad805

12463036421 has 6 divisors (see below), whose sum is σ = 13699040166. Its totient is φ = 11330033000.

The previous prime is 12463036403. The next prime is 12463036441.

12463036421 is nontrivially palindromic in base 10.

12463036421 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 only one way, i.e., 12172708900 + 290327521 = 110330^2 + 17039^2 .

It is not a de Polignac number, because 12463036421 - 26 = 12463036357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12463036441) 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 5 ways as a sum of consecutive naturals, for example, 51500030 + ... + 51500271.

It is an arithmetic number, because the mean of its divisors is an integer number (2283173361).

Almost surely, 212463036421 is an apocalyptic number.

12463036421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12463036421 is a deficient number, since it is larger than the sum of its proper divisors (1236003745).

12463036421 is a wasteful number, since it uses less digits than its factorization.

12463036421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103000323 (or 103000312 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 124630 and 36421, that added together give a 5-th power (161051 = 115).

The spelling of 12463036421 in words is "twelve billion, four hundred sixty-three million, thirty-six thousand, four hundred twenty-one".

Divisors: 1 11 121 103000301 1133003311 12463036421