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12006526152301 = 172387741538431
BaseRepresentation
bin1010111010110111110010…
…1110011110111001101101
31120111210221110011222201221
42232231330232132321231
53033203331143333201
641311415540103341
72346304624256422
oct256557456367155
946453843158657
1012006526152301
113909a370046aa
12141ab41394b51
13691297799275
142d719462dd49
1515c4b5d3a4a1
hexaeb7cb9ee6d

12006526152301 has 32 divisors (see below), whose sum is σ = 13285421964288. Its totient is φ = 10792739358720.

The previous prime is 12006526152293. The next prime is 12006526152323. The reversal of 12006526152301 is 10325162560021.

It is a cyclic number.

It is not a de Polignac number, because 12006526152301 - 23 = 12006526152293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006526152371) by changing a digit.

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, 1424088556 + ... + 1424096986.

It is an arithmetic number, because the mean of its divisors is an integer number (415169436384).

Almost surely, 212006526152301 is an apocalyptic number.

It is an amenable number.

12006526152301 is a deficient number, since it is larger than the sum of its proper divisors (1278895811987).

12006526152301 is a wasteful number, since it uses less digits than its factorization.

12006526152301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12006526152301 in words is "twelve trillion, six billion, five hundred twenty-six million, one hundred fifty-two thousand, three hundred one".

Divisors: 1 17 23 391 877 4153 8431 14909 20171 70601 95519 143327 193913 342907 1623823 3296521 3642181 7393987 35013943 61917077 83770163 125697779 170061701 595237031 805320689 1424092771 2891048917 13690451713 30707228011 522022876187 706266244253 12006526152301