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13557566484 = 22347112127389
BaseRepresentation
bin11001010000001100…
…00000110000010100
31021222211221201220000
430220012000300110
5210231214111414
610121145411300
7656653261620
oct145006006024
937884851800
1013557566484
115827990400
122764499b30
131380a611b7
14928828180
1554538bb09
hex328180c14

13557566484 has 360 divisors, whose sum is σ = 44988303360. Its totient is φ = 3484736640.

The previous prime is 13557566461. The next prime is 13557566531. The reversal of 13557566484 is 48466575531.

It is a happy number.

13557566484 is a `hidden beast` number, since 1 + 3 + 5 + 575 + 6 + 64 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13557566484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34852162 + ... + 34852550.

Almost surely, 213557566484 is an apocalyptic number.

13557566484 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 13557566484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22494151680).

13557566484 is an abundant number, since it is smaller than the sum of its proper divisors (31430736876).

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

13557566484 is a wasteful number, since it uses less digits than its factorization.

13557566484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 539 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 13557566484 in words is "thirteen billion, five hundred fifty-seven million, five hundred sixty-six thousand, four hundred eighty-four".