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13482443520 = 283457131429
BaseRepresentation
bin11001000111001110…
…11100001100000000
31021210121121002120000
430203213130030000
5210103001143040
610105503320000
7655051610340
oct144347341400
937717532500
1013482443520
115799540407
1227432b0000
13136b31a940
1491c870d20
1553d99d130
hex3239dc300

13482443520 has 720 divisors, whose sum is σ = 59417117760. Its totient is φ = 2842656768.

The previous prime is 13482443519. The next prime is 13482443537. The reversal of 13482443520 is 2534428431.

13482443520 is a `hidden beast` number, since 13 + 4 + 82 + 4 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434166 + ... + 9435594.

Almost surely, 213482443520 is an apocalyptic number.

13482443520 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 13482443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29708558880).

13482443520 is an abundant number, since it is smaller than the sum of its proper divisors (45934674240).

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

13482443520 is a wasteful number, since it uses less digits than its factorization.

13482443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 13482443520 in words is "thirteen billion, four hundred eighty-two million, four hundred forty-three thousand, five hundred twenty".