Search a number
-
+
12045714402492 = 2232379043329131
BaseRepresentation
bin1010111101001001110010…
…0001110010110010111100
31120122120002112210100211200
42233102130201302302330
53034324110341334432
641341420320215500
72352163014015621
oct257223441626274
946576075710750
1012045714402492
113924616827031
12142665946a590
13694ba16137a4
142d9031094348
1515d50b428a7c
hexaf49c872cbc

12045714402492 has 36 divisors (see below), whose sum is σ = 31271832138456. Its totient is φ = 3906718184160.

The previous prime is 12045714402479. The next prime is 12045714402511. The reversal of 12045714402492 is 29420441754021.

12045714402492 is a `hidden beast` number, since 12 + 0 + 4 + 5 + 7 + 144 + 0 + 2 + 492 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4521663234 + ... + 4521665897.

It is an arithmetic number, because the mean of its divisors is an integer number (868662003846).

Almost surely, 212045714402492 is an apocalyptic number.

12045714402492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12045714402492 is an abundant number, since it is smaller than the sum of its proper divisors (19226117735964).

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

12045714402492 is a wasteful number, since it uses less digits than its factorization.

12045714402492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043329178 (or 9043329173 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12045714402492 in words is "twelve trillion, forty-five billion, seven hundred fourteen million, four hundred two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9043329131 18086658262 27129987393 36173316524 54259974786 81389962179 108519949572 162779924358 325559848716 334603177847 669206355694 1003809533541 1338412711388 2007619067082 3011428600623 4015238134164 6022857201246 12045714402492