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12468037901 = 1131118730803
BaseRepresentation
bin10111001110010011…
…10010100100001101
31012011220210221122112
423213021302210031
5201013304203101
65421105153405
7620653400504
oct134711624415
935156727575
1012468037901
115318978460
1224bb62b865
131239108827
14863c5383b
154ce8c36bb
hex2e727290d

12468037901 has 16 divisors (see below), whose sum is σ = 14052538368. Its totient is φ = 10959351600.

The previous prime is 12468037891. The next prime is 12468037927. The reversal of 12468037901 is 10973086421.

12468037901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12468037901 - 210 = 12468036877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468037951) 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 15 ways as a sum of consecutive naturals, for example, 389366 + ... + 420168.

It is an arithmetic number, because the mean of its divisors is an integer number (878283648).

Almost surely, 212468037901 is an apocalyptic number.

12468037901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12468037901 is a deficient number, since it is larger than the sum of its proper divisors (1584500467).

12468037901 is a wasteful number, since it uses less digits than its factorization.

12468037901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 12468037901 in words is "twelve billion, four hundred sixty-eight million, thirty-seven thousand, nine hundred one".

Divisors: 1 11 31 341 1187 13057 30803 36797 338833 404767 954893 10503823 36563161 402194771 1133457991 12468037901