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12014415620641 = 737257180496907
BaseRepresentation
bin1010111011010101001011…
…1110011010101000100001
31120112120022021121111201001
42232311102332122220201
53033321010344330031
641315202450512001
72350004263532020
oct256652276325041
946476267544631
1012014415620641
113912315447a75
121420583595601
13691c5414c025
142d77023648b7
1515c7c87a0861
hexaed52f9aa21

12014415620641 has 16 divisors (see below), whose sum is σ = 14156733488256. Its totient is φ = 9980756914176.

The previous prime is 12014415620639. The next prime is 12014415620677. The reversal of 12014415620641 is 14602651441021.

It is a cyclic number.

It is not a de Polignac number, because 12014415620641 - 21 = 12014415620639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12014415620641.

It is not an unprimeable number, because it can be changed into a prime (12014415620341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90181891 + ... + 90315016.

It is an arithmetic number, because the mean of its divisors is an integer number (884795843016).

Almost surely, 212014415620641 is an apocalyptic number.

It is an amenable number.

12014415620641 is a deficient number, since it is larger than the sum of its proper divisors (2142317867615).

12014415620641 is a wasteful number, since it uses less digits than its factorization.

12014415620641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180497208.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 12014415620641 in words is "twelve trillion, fourteen billion, four hundred fifteen million, six hundred twenty thousand, six hundred forty-one".

Divisors: 1 7 37 257 259 1799 9509 66563 180496907 1263478349 6678385559 46387705099 46748698913 324713935693 1716345088663 12014415620641