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13814367066 = 2325849131213
BaseRepresentation
bin11001101110110011…
…01000001101011010
31022122202011120001200
430313121220031122
5211242434221231
610202441455030
7666222116433
oct146731501532
938582146050
1013814367066
115949939495
1228164a1476
1313c20150c6
1495099448a
1555cbb5be6
hex33766835a

13814367066 has 24 divisors (see below), whose sum is σ = 29936474100. Its totient is φ = 4603966656.

The previous prime is 13814367001. The next prime is 13814367067. The reversal of 13814367066 is 66076341831.

13814367066 is a `hidden beast` number, since 13 + 81 + 436 + 70 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12801791025 + 1012576041 = 113145^2 + 31821^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13814367067) 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, 39676 + ... + 170888.

Almost surely, 213814367066 is an apocalyptic number.

13814367066 is an abundant number, since it is smaller than the sum of its proper divisors (16122107034).

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

13814367066 is a wasteful number, since it uses less digits than its factorization.

13814367066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137070 (or 137067 counting only the distinct ones).

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

It can be divided in two parts, 138143 and 67066, that added together give a square (205209 = 4532).

The spelling of 13814367066 in words is "thirteen billion, eight hundred fourteen million, three hundred sixty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 5849 11698 17547 35094 52641 105282 131213 262426 393639 787278 1180917 2361834 767464837 1534929674 2302394511 4604789022 6907183533 13814367066