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13196148901 = 1317371613813
BaseRepresentation
bin11000100101000110…
…10100000010100101
31021001122212211011121
430102203110002211
5204011203231101
610021235133541
7645004262215
oct142243240245
937048784147
1013196148901
115661977a91
1226834442b1
131323c0b140
148d2828245
1552379a0a1
hex3128d40a5

13196148901 has 16 divisors (see below), whose sum is σ = 15453882864. Its totient is φ = 11154668544.

The previous prime is 13196148883. The next prime is 13196148937. The reversal of 13196148901 is 10984169131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 455609025 + 12740539876 = 21345^2 + 112874^2 .

It is a cyclic number.

It is not a de Polignac number, because 13196148901 - 27 = 13196148773 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 (13196148941) 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 15 ways as a sum of consecutive naturals, for example, 798730 + ... + 815083.

It is an arithmetic number, because the mean of its divisors is an integer number (965867679).

Almost surely, 213196148901 is an apocalyptic number.

It is an amenable number.

13196148901 is a deficient number, since it is larger than the sum of its proper divisors (2257733963).

13196148901 is a wasteful number, since it uses less digits than its factorization.

13196148901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613880.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 13196148901 in words is "thirteen billion, one hundred ninety-six million, one hundred forty-eight thousand, nine hundred one".

Divisors: 1 13 17 37 221 481 629 8177 1613813 20979569 27434821 59711081 356652673 776244053 1015088377 13196148901