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13324475520 = 2732537103607
BaseRepresentation
bin11000110100011001…
…10101110010000000
31021101121100111012100
430122030311302000
5204242031204040
610042101430400
7651123113256
oct143214656200
937347314170
1013324475520
115718356744
1226ba40b400
13134468c055
149058b05d6
1552eb97b30
hex31a335c80

13324475520 has 384 divisors, whose sum is σ = 47792010240. Its totient is φ = 3417956352.

The previous prime is 13324475501. The next prime is 13324475573. The reversal of 13324475520 is 2557442331.

13324475520 is a `hidden beast` number, since 133 + 2 + 4 + 475 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 21951057 + ... + 21951663.

It is an arithmetic number, because the mean of its divisors is an integer number (124458360).

Almost surely, 213324475520 is an apocalyptic number.

13324475520 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 13324475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896005120).

13324475520 is an abundant number, since it is smaller than the sum of its proper divisors (34467534720).

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

13324475520 is a wasteful number, since it uses less digits than its factorization.

13324475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 13324475520 in words is "thirteen billion, three hundred twenty-four million, four hundred seventy-five thousand, five hundred twenty".