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4064736664141 = 19617166174729
BaseRepresentation
bin111011001001100101001…
…011110101101001001101
3112101120210111010222100121
4323021211023311221031
51013044040041223031
612351151513224541
7566444651401216
oct73114513655115
915346714128317
104064736664141
11132793297459a
12557934102151
132363c2982a6a
14100a3cd0640d
1570aee499011
hex3b2652f5a4d

4064736664141 has 32 divisors (see below), whose sum is σ = 4416794092800. Its totient is φ = 3728628288000.

The previous prime is 4064736664111. The next prime is 4064736664169. The reversal of 4064736664141 is 1414666374604.

It is a cyclic number.

It is not a de Polignac number, because 4064736664141 - 27 = 4064736664013 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 (4064736664111) 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 31 ways as a sum of consecutive naturals, for example, 54355665 + ... + 54430393.

It is an arithmetic number, because the mean of its divisors is an integer number (138024815400).

Almost surely, 24064736664141 is an apocalyptic number.

It is an amenable number.

4064736664141 is a deficient number, since it is larger than the sum of its proper divisors (352057428659).

4064736664141 is a wasteful number, since it uses less digits than its factorization.

4064736664141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75541.

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 4064736664141 in words is "four trillion, sixty-four billion, seven hundred thirty-six million, six hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 19 61 71 661 1159 1349 4331 12559 40321 46931 74729 82289 766099 891689 1419851 2862791 4558469 5305759 49395869 54393029 86610911 100809421 323651299 938521511 3013148009 3507106699 6149374681 57249812171 66635027281 213933508639 4064736664141