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12038185117485 = 335731221530707
BaseRepresentation
bin1010111100101101101110…
…1111110110011100101101
31120121211122211010001112000
42233023123233312130231
53034213200342224420
641334133233402513
72351505310112442
oct257133357663455
946554584101460
1012038185117485
11392140273383a
1214250b7a09439
13694271771067
142d891911b9c9
1515d21a40e690
hexaf2dbbf672d

12038185117485 has 32 divisors (see below), whose sum is σ = 21694385374080. Its totient is φ = 6332415179904.

The previous prime is 12038185117471. The next prime is 12038185117501. The reversal of 12038185117485 is 58471158183021.

12038185117485 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 81 + 8 + 511 + 7 + 48 + 5 = 666.

It is not a de Polignac number, because 12038185117485 - 212 = 12038185113389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610755499 + ... + 610775208.

It is an arithmetic number, because the mean of its divisors is an integer number (677949542940).

Almost surely, 212038185117485 is an apocalyptic number.

12038185117485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12038185117485 is a deficient number, since it is larger than the sum of its proper divisors (9656200256595).

12038185117485 is a wasteful number, since it uses less digits than its factorization.

12038185117485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221530794 (or 1221530788 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 12038185117485 in words is "twelve trillion, thirty-eight billion, one hundred eighty-five million, one hundred seventeen thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 657 1095 1971 3285 9855 1221530707 3664592121 6107653535 10993776363 18322960605 32981329089 54968881815 89171741611 164906645445 267515224833 445858708055 802545674499 1337576124165 2407637023497 4012728372495 12038185117485