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12005874635629 = 710750331867207
BaseRepresentation
bin1010111010110101010111…
…1001001001001101101101
31120111202021001020111212211
42232231111321021031231
53033201012401320004
641311231143530421
72346252523415050
oct256552571111555
946452231214784
1012005874635629
11390973226a576
12141a99b159a11
136911c2803b44
142d7131cb6a97
1515c478a43504
hexaeb55e4936d

12005874635629 has 16 divisors (see below), whose sum is σ = 13876766926848. Its totient is φ = 10174306594032.

The previous prime is 12005874635621. The next prime is 12005874635653. The reversal of 12005874635629 is 92653647850021.

It is not a de Polignac number, because 12005874635629 - 23 = 12005874635621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005874635621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15556857 + ... + 16310350.

It is an arithmetic number, because the mean of its divisors is an integer number (867297932928).

It is a 1-persistent number, because it is pandigital, but 2⋅12005874635629 = 24011749271258 is not.

Almost surely, 212005874635629 is an apocalyptic number.

It is an amenable number.

12005874635629 is a deficient number, since it is larger than the sum of its proper divisors (1870892291219).

12005874635629 is a wasteful number, since it uses less digits than its factorization.

12005874635629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31867824.

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 12005874635629 in words is "twelve trillion, five billion, eight hundred seventy-four million, six hundred thirty-five thousand, six hundred twenty-nine".

Divisors: 1 7 107 503 749 3521 53821 376747 31867207 223070449 3409791149 16029205121 23868538043 112204435847 1715124947947 12005874635629