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13664402280 = 2332537956673
BaseRepresentation
bin11001011100111011…
…00011101101101000
31022021021222120001100
430232131203231220
5210441041333110
610135523321400
7662421334344
oct145635435550
938237876040
1013664402280
115882220751
122794220260
131399c29249
14938ab8624
1554e941bc0
hex32e763b68

13664402280 has 48 divisors (see below), whose sum is σ = 44409308580. Its totient is φ = 3643840512.

The previous prime is 13664402249. The next prime is 13664402309. The reversal of 13664402280 is 8220446631.

13664402280 is a `hidden beast` number, since 1 + 3 + 6 + 644 + 0 + 2 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11873589156 + 1790813124 = 108966^2 + 42318^2 .

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18977977 + ... + 18978696.

Almost surely, 213664402280 is an apocalyptic number.

13664402280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664402280 is an abundant number, since it is smaller than the sum of its proper divisors (30744906300).

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

13664402280 is a wasteful number, since it uses less digits than its factorization.

13664402280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37956690 (or 37956683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13664402280 in words is "thirteen billion, six hundred sixty-four million, four hundred two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 37956673 75913346 113870019 151826692 189783365 227740038 303653384 341610057 379566730 455480076 569350095 683220114 759133460 910960152 1138700190 1366440228 1518266920 1708050285 2277400380 2732880456 3416100570 4554800760 6832201140 13664402280