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13216020480 = 211335133677
BaseRepresentation
bin11000100111011110…
…00111100000000000
31021010001021101212000
430103233013200000
5204031300123410
610023225104000
7645335214645
oct142357074000
937101241760
1013216020480
11567210a883
12268a028000
131328077c80
148d531bdcc
155253c2dc0
hex313bc7800

13216020480 has 384 divisors, whose sum is σ = 50606337600. Its totient is φ = 3252289536.

The previous prime is 13216020469. The next prime is 13216020487. The reversal of 13216020480 is 8402061231.

13216020480 is a `hidden beast` number, since 1 + 3 + 2 + 160 + 20 + 480 = 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216020487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592402 + ... + 3596078.

Almost surely, 213216020480 is an apocalyptic number.

13216020480 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 13216020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303168800).

13216020480 is an abundant number, since it is smaller than the sum of its proper divisors (37390317120).

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

13216020480 is a wasteful number, since it uses less digits than its factorization.

13216020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13216020480 in words is "thirteen billion, two hundred sixteen million, twenty thousand, four hundred eighty".