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13327884648 = 23321314239193
BaseRepresentation
bin11000110100110011…
…10110000101101000
31021101211202200122100
430122121312011220
5204243414302043
610042302453400
7651164102361
oct143231660550
937354680570
1013327884648
11571a275001
1226bb594260
1313452b39a0
1490611ab68
1553011ccd3
hex31a676168

13327884648 has 48 divisors (see below), whose sum is σ = 38872999620. Its totient is φ = 4100887296.

The previous prime is 13327884643. The next prime is 13327884667. The reversal of 13327884648 is 84648872331.

It can be written as a sum of positive squares in 2 ways, for example, as 12311677764 + 1016206884 = 110958^2 + 31878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13327884594 and 13327884603.

It is not an unprimeable number, because it can be changed into a prime (13327884643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7118661 + ... + 7120532.

Almost surely, 213327884648 is an apocalyptic number.

13327884648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13327884648 is an abundant number, since it is smaller than the sum of its proper divisors (25545114972).

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

13327884648 is a wasteful number, since it uses less digits than its factorization.

13327884648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14239218 (or 14239211 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 13327884648 in words is "thirteen billion, three hundred twenty-seven million, eight hundred eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 14239193 28478386 42717579 56956772 85435158 113913544 128152737 170870316 185109509 256305474 341740632 370219018 512610948 555328527 740438036 1025221896 1110657054 1480876072 1665985581 2221314108 3331971162 4442628216 6663942324 13327884648