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12529082378412 = 22321272740394221
BaseRepresentation
bin1011011001010010011110…
…0000010010100010101100
31122100202202021220201020100
42312110213200102202230
53120234030042102122
642351440405351100
72432124225020205
oct266244740224254
948322667821210
1012529082378412
113aa0610408686
1214a4278408490
136cb644a793a2
143145a74245ac
1516ad9bd1eaac
hexb65278128ac

12529082378412 has 36 divisors (see below), whose sum is σ = 31920111897856. Its totient is φ = 4143476060640.

The previous prime is 12529082378401. The next prime is 12529082378431. The reversal of 12529082378412 is 21487328092521.

It is a happy number.

12529082378412 is a `hidden beast` number, since 1 + 2 + 52 + 90 + 8 + 23 + 78 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 1370192539 + ... + 1370201682.

Almost surely, 212529082378412 is an apocalyptic number.

12529082378412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12529082378412 is an abundant number, since it is smaller than the sum of its proper divisors (19391029519444).

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

12529082378412 is a wasteful number, since it uses less digits than its factorization.

12529082378412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740394358 (or 2740394353 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12529082378412 in words is "twelve trillion, five hundred twenty-nine billion, eighty-two million, three hundred seventy-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 2740394221 5480788442 8221182663 10961576884 16442365326 24663547989 32884730652 49327095978 98654191956 348030066067 696060132134 1044090198201 1392120264268 2088180396402 3132270594603 4176360792804 6264541189206 12529082378412