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12048032407441 = 1722911512688787
BaseRepresentation
bin1010111101010010011010…
…1100010001111110010001
31120122210002002112012211211
42233110212230101332101
53034343332244014231
641342442323140121
72352304321516552
oct257244654217621
946583062465754
1012048032407441
1139255a62254a8
121426ba5814641
13695180920c54
142d91b0c8c329
1515d5e4ba4eb1
hexaf526b11f91

12048032407441 has 16 divisors (see below), whose sum is σ = 12823582832640. Its totient is φ = 11279995027200.

The previous prime is 12048032407429. The next prime is 12048032407459. The reversal of 12048032407441 is 14470423084021.

It is a cyclic number.

It is not a de Polignac number, because 12048032407441 - 211 = 12048032405393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12048032407394 and 12048032407403.

It is not an unprimeable number, because it can be changed into a prime (12048032477441) 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, 3136450 + ... + 5825236.

It is an arithmetic number, because the mean of its divisors is an integer number (801473927040).

Almost surely, 212048032407441 is an apocalyptic number.

It is an amenable number.

12048032407441 is a deficient number, since it is larger than the sum of its proper divisors (775550425199).

12048032407441 is a wasteful number, since it uses less digits than its factorization.

12048032407441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690184.

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 12048032407441 in words is "twelve trillion, forty-eight billion, thirty-two million, four hundred seven thousand, four hundred forty-one".

Divisors: 1 17 229 1151 3893 19567 263579 2688787 4480843 45709379 615732223 3094793837 10467447791 52611495229 708707788673 12048032407441