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13409556480 = 21135517317
BaseRepresentation
bin11000111110100010…
…11001100000000000
31021121112110001100000
430133101121200000
5204430321301410
610054341200000
7653205230565
oct143721314000
937545401300
1013409556480
115761388291
122722a00000
1313591ab008
14912cda86c
155373a1dc0
hex31f459800

13409556480 has 576 divisors, whose sum is σ = 51192479520. Its totient is φ = 3354918912.

The previous prime is 13409556469. The next prime is 13409556487. The reversal of 13409556480 is 8465590431.

13409556480 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 5 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409556487) 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 47 ways as a sum of consecutive naturals, for example, 42301282 + ... + 42301598.

Almost surely, 213409556480 is an apocalyptic number.

13409556480 is a gapful number since it is divisible by the number (10) 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 13409556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596239760).

13409556480 is an abundant number, since it is smaller than the sum of its proper divisors (37782923040).

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

13409556480 is an equidigital number, since it uses as much as digits as its factorization.

13409556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13409556480 in words is "thirteen billion, four hundred nine million, five hundred fifty-six thousand, four hundred eighty".