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13640382297 = 3237330112409
BaseRepresentation
bin11001011010000011…
…11011011101011001
31022012121210012211100
430231001323131121
5210413414213142
610133304422013
7662010223263
oct145501733531
938177705740
1013640382297
11586a705123
122788177909
131394c69139
14935824b33
1554c799b4c
hex32d07b759

13640382297 has 24 divisors (see below), whose sum is σ = 20243043080. Its totient is φ = 8844422400.

The previous prime is 13640382289. The next prime is 13640382313. The reversal of 13640382297 is 79228304631.

13640382297 is a `hidden beast` number, since 13 + 6 + 403 + 8 + 229 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 13321545561 = 17856^2 + 115419^2 .

It is not a de Polignac number, because 13640382297 - 23 = 13640382289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13640282297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1093029 + ... + 1105437.

Almost surely, 213640382297 is an apocalyptic number.

It is an amenable number.

13640382297 is a deficient number, since it is larger than the sum of its proper divisors (6602660783).

13640382297 is a wasteful number, since it uses less digits than its factorization.

13640382297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15753 (or 15750 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13640382297 in words is "thirteen billion, six hundred forty million, three hundred eighty-two thousand, two hundred ninety-seven".

Divisors: 1 3 9 37 111 333 3301 9903 12409 29709 37227 111681 122137 366411 459133 1099233 1377399 4132197 40962109 122886327 368658981 1515598033 4546794099 13640382297