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13448801520 = 2433571127351
BaseRepresentation
bin11001000011001110…
…00110110011110000
31021201021021220102000
430201213012303300
5210020343122040
610102302254000
7654162632610
oct144147066360
937637256360
1013448801520
115781552700
122733b87300
13136436c02b
149181d4a40
1553aa55130
hex3219c6cf0

13448801520 has 480 divisors, whose sum is σ = 58199608320. Its totient is φ = 2794176000.

The previous prime is 13448801503. The next prime is 13448801543. The reversal of 13448801520 is 2510884431.

13448801520 is a `hidden beast` number, since 13 + 4 + 48 + 80 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1825845 + ... + 1833195.

It is an arithmetic number, because the mean of its divisors is an integer number (121249184).

Almost surely, 213448801520 is an apocalyptic number.

13448801520 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 13448801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29099804160).

13448801520 is an abundant number, since it is smaller than the sum of its proper divisors (44750806800).

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

13448801520 is a wasteful number, since it uses less digits than its factorization.

13448801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13448801520 in words is "thirteen billion, four hundred forty-eight million, eight hundred one thousand, five hundred twenty".