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13553327424 = 2637131634759
BaseRepresentation
bin11001001111101011…
…10101110101000000
31021222112222100222210
430213311311311000
5210224122434144
610120514502120
7656602245060
oct144765656500
937875870883
1013553327424
11582555554a
122762b94940
13137cc08890
149280433a0
15544d00ab9
hex327d75d40

13553327424 has 224 divisors, whose sum is σ = 44415293440. Its totient is φ = 3551827968.

The previous prime is 13553327413. The next prime is 13553327449. The reversal of 13553327424 is 42472335531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2845557 + ... + 2850315.

It is an arithmetic number, because the mean of its divisors is an integer number (198282560).

Almost surely, 213553327424 is an apocalyptic number.

13553327424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207646720).

13553327424 is an abundant number, since it is smaller than the sum of its proper divisors (30861966016).

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

13553327424 is a wasteful number, since it uses less digits than its factorization.

13553327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4947 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The spelling of 13553327424 in words is "thirteen billion, five hundred fifty-three million, three hundred twenty-seven thousand, four hundred twenty-four".