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12055013014005 = 32513127162258739
BaseRepresentation
bin1010111101101100011011…
…0001001011100111110101
31120200110002120202202211200
42233123012301023213311
53040002131312422010
641345555125523113
72352642313634313
oct257330661134765
946613076682750
1012055013014005
113928558633535
121428413573499
13695a23bc6890
142d9673ddb0b3
1515d8a293ccc0
hexaf6c6c4b9f5

12055013014005 has 48 divisors (see below), whose sum is σ = 22679877642240. Its totient is φ = 5888045084544.

The previous prime is 12055013013977. The next prime is 12055013014049. The reversal of 12055013014005 is 50041031055021.

12055013014005 is a `hidden beast` number, since 1 + 205 + 50 + 1 + 3 + 0 + 1 + 400 + 5 = 666.

It is not a de Polignac number, because 12055013014005 - 216 = 12055012948469 is a prime.

It is a super-2 number, since 2×120550130140052 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12055013014005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81055075 + ... + 81203664.

It is an arithmetic number, because the mean of its divisors is an integer number (472497450880).

Almost surely, 212055013014005 is an apocalyptic number.

12055013014005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12055013014005 is a deficient number, since it is larger than the sum of its proper divisors (10624864628235).

12055013014005 is a wasteful number, since it uses less digits than its factorization.

12055013014005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162258890 (or 162258887 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 12055013014005 its reverse (50041031055021), we get a palindrome (62096044069026).

The spelling of 12055013014005 in words is "twelve trillion, fifty-five billion, thirteen million, fourteen thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 127 195 381 585 635 1143 1651 1905 4953 5715 8255 14859 24765 74295 162258739 486776217 811293695 1460328651 2109363607 2433881085 6328090821 7301643255 10546818035 18984272463 20606859853 31640454105 61820579559 94921362315 103034299265 185461738677 267889178089 309102897795 803667534267 927308693385 1339445890445 2411002602801 4018337671335 12055013014005