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13276018440 = 2332536877829
BaseRepresentation
bin11000101110100111…
…11111011100001000
31021021020011121120200
430113103333130020
5204142130042230
610033211052200
7646664203056
oct142723773410
937236147520
1013276018440
1156a2a6a173
1226a6141060
131337624019
148dd2991d6
1552a7c5160
hex3174ff708

13276018440 has 48 divisors (see below), whose sum is σ = 43147061100. Its totient is φ = 3540271488.

The previous prime is 13276018423. The next prime is 13276018453. The reversal of 13276018440 is 4481067231.

13276018440 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 601 + 8 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12096920196 + 1179098244 = 109986^2 + 34338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13276018395 and 13276018404.

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, 18438555 + ... + 18439274.

Almost surely, 213276018440 is an apocalyptic number.

13276018440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13276018440 is an abundant number, since it is smaller than the sum of its proper divisors (29871042660).

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

13276018440 is a wasteful number, since it uses less digits than its factorization.

13276018440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36877846 (or 36877839 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13276018440 in words is "thirteen billion, two hundred seventy-six million, eighteen thousand, four hundred forty".

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 36877829 73755658 110633487 147511316 184389145 221266974 295022632 331900461 368778290 442533948 553167435 663800922 737556580 885067896 1106334870 1327601844 1475113160 1659502305 2212669740 2655203688 3319004610 4425339480 6638009220 13276018440