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13316532480 = 283251797701
BaseRepresentation
bin11000110011011101…
…00010100100000000
31021101001101221101200
430121232202210000
5204233013014410
610041215301200
7650665441566
oct143156424400
937331357350
1013316532480
115713920a49
1226b781a800
131342b3a824
14904803a36
1552e1293c0
hex319ba2900

13316532480 has 432 divisors, whose sum is σ = 49357277424. Its totient is φ = 3303014400.

The previous prime is 13316532409. The next prime is 13316532499. The reversal of 13316532480 is 8423561331.

13316532480 is a `hidden beast` number, since 1 + 33 + 16 + 532 + 4 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 840536064 + 12475996416 = 28992^2 + 111696^2 .

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

It is an unprimeable number.

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, 18996130 + ... + 18996830.

It is an arithmetic number, because the mean of its divisors is an integer number (114252957).

Almost surely, 213316532480 is an apocalyptic number.

13316532480 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 13316532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678638712).

13316532480 is an abundant number, since it is smaller than the sum of its proper divisors (36040744944).

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

13316532480 is a wasteful number, since it uses less digits than its factorization.

13316532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13316532480 in words is "thirteen billion, three hundred sixteen million, five hundred thirty-two thousand, four hundred eighty".