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13708206720 = 273451320341
BaseRepresentation
bin11001100010001001…
…01010001010000000
31022101100102001110000
430301010222022000
5211033300103340
610144130240000
7663462556155
oct146104521200
938340361400
1013708206720
1158a4a1a66a
1227a6a26000
1313a6025630
1494083c22c
155536e5d30
hex33112a280

13708206720 has 320 divisors, whose sum is σ = 52722802440. Its totient is φ = 3374161920.

The previous prime is 13708206689. The next prime is 13708206749. The reversal of 13708206720 is 2760280731.

It can be written as a sum of positive squares in 4 ways, for example, as 9405896256 + 4302310464 = 96984^2 + 65592^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 663750 + ... + 684090.

Almost surely, 213708206720 is an apocalyptic number.

13708206720 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 13708206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361401220).

13708206720 is an abundant number, since it is smaller than the sum of its proper divisors (39014595720).

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

13708206720 is a wasteful number, since it uses less digits than its factorization.

13708206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13708206720 in words is "thirteen billion, seven hundred eight million, two hundred six thousand, seven hundred twenty".