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164351425202041 = 72111292092359891
BaseRepresentation
bin100101010111101000001100…
…010100010100011101111001
3210112220211202101220201012211
4211113220030110110131321
5133020213204322431131
61341314000304535121
746421666346211300
oct4527501424243571
9715824671821184
10164351425202041
1148405058991620
12165244a79214a1
13709237172209c
142c8291970d437
1514002575535b1
hex957a0c514779

164351425202041 has 24 divisors (see below), whose sum is σ = 208566405398880. Its totient is φ = 128065000190400.

The previous prime is 164351425202039. The next prime is 164351425202053. The reversal of 164351425202041 is 140202524153461.

It is not a de Polignac number, because 164351425202041 - 21 = 164351425202039 is a prime.

It is a super-2 number, since 2×1643514252020412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164351425201985 and 164351425202003.

It is not an unprimeable number, because it can be changed into a prime (164351425205041) 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 23 ways as a sum of consecutive naturals, for example, 68463706 + ... + 70823596.

It is an arithmetic number, because the mean of its divisors is an integer number (8690266891620).

Almost surely, 2164351425202041 is an apocalyptic number.

164351425202041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164351425202041 is a deficient number, since it is larger than the sum of its proper divisors (44214980196839).

164351425202041 is a wasteful number, since it uses less digits than its factorization.

164351425202041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489125 (or 2489118 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 164351425202041 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, four hundred twenty-five million, two hundred two thousand, forty-one".

Divisors: 1 7 11 49 77 539 129209 904463 1421299 2359891 6331241 9949093 16519237 25958801 69643651 115634659 181711607 1271981249 304919156219 2134434093533 3354110718409 14941038654731 23478775028863 164351425202041