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164262241143 = 357113135581
BaseRepresentation
bin1001100011111011001…
…0101110001101110111
3120200222201101102200000
42120332302232031313
510142402113204033
6203243325522343
714603400004140
oct2307662561567
9520881342600
10164262241143
1163732831000
1227a031133b3
131264a2c86c0
147d43a0cac7
154415c63a13
hex263ecae377

164262241143 has 192 divisors, whose sum is σ = 333158052864. Its totient is φ = 78752995200.

The previous prime is 164262241139. The next prime is 164262241211. The reversal of 164262241143 is 341142262461.

164262241143 is a `hidden beast` number, since 1 + 6 + 426 + 224 + 1 + 1 + 4 + 3 = 666.

It is not a de Polignac number, because 164262241143 - 22 = 164262241139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164262241098 and 164262241107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164262241343) 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 191 ways as a sum of consecutive naturals, for example, 29429613 + ... + 29435193.

It is an arithmetic number, because the mean of its divisors is an integer number (1735198192).

Almost surely, 2164262241143 is an apocalyptic number.

164262241143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

164262241143 is an abundant number, since it is smaller than the sum of its proper divisors (168895811721).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164262241143 is an equidigital number, since it uses as much as digits as its factorization.

164262241143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5615 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 164262241143 in words is "one hundred sixty-four billion, two hundred sixty-two million, two hundred forty-one thousand, one hundred forty-three".