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13332401280 = 273351170141
BaseRepresentation
bin11000110101010110…
…00100110010000000
31021102011021011022000
430122223010302000
5204301043320110
610042543344000
7651250353402
oct143253046200
937364234260
1013332401280
11572187a460
122700bb2000
131346205753
14906974b72
155307111c0
hex31aac4c80

13332401280 has 256 divisors, whose sum is σ = 51512284800. Its totient is φ = 3232051200.

The previous prime is 13332401263. The next prime is 13332401281. The reversal of 13332401280 is 8210423331.

13332401280 is a `hidden beast` number, since 1 + 333 + 240 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13332401281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155010 + ... + 225150.

Almost surely, 213332401280 is an apocalyptic number.

13332401280 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 13332401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756142400).

13332401280 is an abundant number, since it is smaller than the sum of its proper divisors (38179883520).

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

13332401280 is a wasteful number, since it uses less digits than its factorization.

13332401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70180 (or 70162 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13332401280 in words is "thirteen billion, three hundred thirty-two million, four hundred one thousand, two hundred eighty".