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164141513741 = 1927193177281
BaseRepresentation
bin1001100011011110011…
…0001011110000001101
3120200200022012211210202
42120313212023300031
510142130211414431
6203223334143245
714600402563202
oct2306746136015
9520608184722
10164141513741
1163680672797
122798a7b1b25
131262b2a867a
147d31983ca9
15440a3678cb
hex263798bc0d

164141513741 has 8 divisors (see below), whose sum is σ = 172844140800. Its totient is φ = 155445246720.

The previous prime is 164141513693. The next prime is 164141513747. The reversal of 164141513741 is 147315141461.

164141513741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164141513741 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164141513695 and 164141513704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164141513747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1536980 + ... + 1640301.

It is an arithmetic number, because the mean of its divisors is an integer number (21605517600).

Almost surely, 2164141513741 is an apocalyptic number.

It is an amenable number.

164141513741 is a deficient number, since it is larger than the sum of its proper divisors (8702627059).

164141513741 is a wasteful number, since it uses less digits than its factorization.

164141513741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180019.

The product of its digits is 40320, while the sum is 38.

The spelling of 164141513741 in words is "one hundred sixty-four billion, one hundred forty-one million, five hundred thirteen thousand, seven hundred forty-one".

Divisors: 1 19 2719 51661 3177281 60368339 8639027039 164141513741