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13468148001 = 3271119434557
BaseRepresentation
bin11001000101100001…
…11010000100100001
31021202121200210210100
430202300322010201
5210040321214001
610104233053013
7654516240420
oct144260720441
937677623710
1013468148001
115791466a30
12273a557169
131368383b59
1491a9cd2b7
1553c5c7586
hex322c3a121

13468148001 has 24 divisors (see below), whose sum is σ = 24254328384. Its totient is φ = 6996440160.

The previous prime is 13468147981. The next prime is 13468148003. The reversal of 13468148001 is 10084186431.

It is a happy number.

It is not a de Polignac number, because 13468148001 - 26 = 13468147937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13468148003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9716586 + ... + 9717971.

It is an arithmetic number, because the mean of its divisors is an integer number (1010597016).

Almost surely, 213468148001 is an apocalyptic number.

13468148001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13468148001 is a deficient number, since it is larger than the sum of its proper divisors (10786180383).

13468148001 is a wasteful number, since it uses less digits than its factorization.

13468148001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19434581 (or 19434578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13468148001 in words is "thirteen billion, four hundred sixty-eight million, one hundred forty-eight thousand, one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 19434557 58303671 136041899 174911013 213780127 408125697 641340381 1224377091 1496460889 1924021143 4489382667 13468148001