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12064166146021 = 114127198707801
BaseRepresentation
bin1010111110001110100001…
…0101100110111111100101
31120201022201111000001111011
42233203220111212333211
53040124403013133041
641354111301142221
72353415166161353
oct257435025467745
946638644001434
1012064166146021
113931425306050
12142a1489ba971
13696852301522
142d9ca18b47d3
1515dc3b2b6e81
hexaf8e8566fe5

12064166146021 has 16 divisors (see below), whose sum is σ = 13531655160576. Its totient is φ = 10660442400000.

The previous prime is 12064166146013. The next prime is 12064166146061.

It is a happy number.

12064166146021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12064166146021 - 23 = 12064166146013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064166146061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49231680 + ... + 49476121.

It is an arithmetic number, because the mean of its divisors is an integer number (845728447536).

Almost surely, 212064166146021 is an apocalyptic number.

12064166146021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12064166146021 is a deficient number, since it is larger than the sum of its proper divisors (1467489014555).

12064166146021 is a wasteful number, since it uses less digits than its factorization.

12064166146021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98708124.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 12064166146021 in words is "twelve trillion, sixty-four billion, one hundred sixty-six million, one hundred forty-six thousand, twenty-one".

Divisors: 1 11 41 271 451 2981 11111 122221 98707801 1085785811 4047019841 26749814071 44517218251 294247954781 1096742376911 12064166146021