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164148841461 = 3114974207317
BaseRepresentation
bin1001100011100000001…
…0001000101111110101
3120200200211000010112210
42120320002020233311
510142134100411321
6203224155204033
714600522062623
oct2307002105765
9520624003483
10164148841461
1163684818160
1227991146619
131262c972ab7
147d32930513
15440ad13b76
hex2638088bf5

164148841461 has 8 divisors (see below), whose sum is σ = 238761951264. Its totient is φ = 99484146320.

The previous prime is 164148841459. The next prime is 164148841499.

164148841461 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 164148841461 - 21 = 164148841459 is a prime.

It is a super-2 number, since 2×1641488414612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164148841461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164148141461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2487103626 + ... + 2487103691.

It is an arithmetic number, because the mean of its divisors is an integer number (29845243908).

Almost surely, 2164148841461 is an apocalyptic number.

164148841461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164148841461 is a deficient number, since it is larger than the sum of its proper divisors (74613109803).

164148841461 is a wasteful number, since it uses less digits than its factorization.

164148841461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974207331.

The product of its digits is 589824, while the sum is 48.

The spelling of 164148841461 in words is "one hundred sixty-four billion, one hundred forty-eight million, eight hundred forty-one thousand, four hundred sixty-one".

Divisors: 1 3 11 33 4974207317 14922621951 54716280487 164148841461