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165934724241 = 31113196125471
BaseRepresentation
bin1001101010001001111…
…0101111010010010001
3120212022021110101011110
42122202132233102101
510204313242133431
6204121313003533
714663005612146
oct2324236572221
9525267411143
10165934724241
116441090a340
12281ab2535a9
131285595c280
148061bb03cd
1544b29ce346
hex26a27af491

165934724241 has 96 divisors (see below), whose sum is σ = 278215741440. Its totient is φ = 86487264000.

The previous prime is 165934724239. The next prime is 165934724243. The reversal of 165934724241 is 142427439561.

165934724241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165934724239) and next prime (165934724243).

It is not a de Polignac number, because 165934724241 - 21 = 165934724239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165934724243) 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 95 ways as a sum of consecutive naturals, for example, 30327136 + ... + 30332606.

It is an arithmetic number, because the mean of its divisors is an integer number (2898080640).

Almost surely, 2165934724241 is an apocalyptic number.

165934724241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165934724241 is a deficient number, since it is larger than the sum of its proper divisors (112281017199).

165934724241 is a wasteful number, since it uses less digits than its factorization.

165934724241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5578 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 165934724241 in words is "one hundred sixty-five billion, nine hundred thirty-four million, seven hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 11 13 19 33 39 57 61 143 183 209 247 429 627 671 741 793 1159 2013 2379 2717 3477 3721 5471 8151 8723 11163 12749 15067 16413 26169 38247 40931 45201 48373 60181 70699 71123 103949 122793 145119 165737 180543 212097 213369 311847 333731 497211 532103 777689 782353 919087 1001193 1143439 1351337 1596309 2333067 2347059 2757261 3430317 3671041 4054011 4338503 6340889 10109957 11013123 13015509 14864707 19022667 20357591 30329871 44594121 47723533 61072773 69749779 82431557 143170599 209249337 223933501 247294671 264648683 386794229 671800503 793946049 906747127 1160382687 2720241381 2911135513 4254736519 5028324977 8733406539 12764209557 15084974931 55311574747 165934724241