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13324411476 = 2232370122541
BaseRepresentation
bin11000110100011001…
…00110001001010100
31021101121020020100100
430122030212021110
5204242022131401
610042100214100
7651122425455
oct143214461124
937347206310
1013324411476
115718312612
1226ba39a330
131344668b5c
1490589512c
1552eb83b86
hex31a326254

13324411476 has 18 divisors (see below), whose sum is σ = 33681151322. Its totient is φ = 4441470480.

The previous prime is 13324411469. The next prime is 13324411483. The reversal of 13324411476 is 67411442331.

13324411476 is a `hidden beast` number, since 133 + 2 + 44 + 11 + 476 = 666.

It is an interprime number because it is at equal distance from previous prime (13324411469) and next prime (13324411483).

It can be written as a sum of positive squares in only one way, i.e., 13196495376 + 127916100 = 114876^2 + 11310^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 370122541 = 13324411476 / (1 + 3 + 3 + 2 + 4 + 4 + 1 + 1 + 4 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 13324411476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185061235 + ... + 185061306.

Almost surely, 213324411476 is an apocalyptic number.

It is an amenable number.

13324411476 is an abundant number, since it is smaller than the sum of its proper divisors (20356739846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13324411476 is a wasteful number, since it uses less digits than its factorization.

13324411476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370122551 (or 370122546 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13324411476 in words is "thirteen billion, three hundred twenty-four million, four hundred eleven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 370122541 740245082 1110367623 1480490164 2220735246 3331102869 4441470492 6662205738 13324411476