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13248780480 = 2632513353867
BaseRepresentation
bin11000101011011000…
…00101100011000000
31021012022220210010100
430111230011203000
5204113141433410
610030355202400
7646213530105
oct142554054300
937168823110
1013248780480
115689655961
122698ba6400
131331aa82a0
148d9808aac
155281e48c0
hex315b058c0

13248780480 has 168 divisors, whose sum is σ = 49075829712. Its totient is φ = 3261229056.

The previous prime is 13248780449. The next prime is 13248780497. The reversal of 13248780480 is 8408784231.

13248780480 is a `hidden beast` number, since 13 + 2 + 4 + 87 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 139494 + ... + 214373.

It is an arithmetic number, because the mean of its divisors is an integer number (292118034).

Almost surely, 213248780480 is an apocalyptic number.

13248780480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248780480 is an abundant number, since it is smaller than the sum of its proper divisors (35827049232).

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

13248780480 is a wasteful number, since it uses less digits than its factorization.

13248780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353903 (or 353890 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 13248780480 in words is "thirteen billion, two hundred forty-eight million, seven hundred eighty thousand, four hundred eighty".