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165106412191876 = 225921088932
BaseRepresentation
bin100101100010100111010101…
…000011001000000010000100
3210122121000111202010121112211
4211202213111003020002010
5133120100413010120001
61343052501052153204
746530354544560451
oct4542472503100204
9718530452117484
10165106412191876
1148676266404571
121662688b468804
137118610b838ac
142cab29b7ba828
151414be3bd7351
hex9629d50c8084

165106412191876 has 27 divisors (see below), whose sum is σ = 293919148379941. Its totient is φ = 81153253949264.

The previous prime is 165106412191873. The next prime is 165106412191907. The reversal of 165106412191876 is 678191214601561.

The square root of 165106412191876 is 12849374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75251634552900 + 89854777638976 = 8674770^2 + 9479176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165106412191876.

It is not an unprimeable number, because it can be changed into a prime (165106412191873) 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 8 ways as a sum of consecutive naturals, for example, 1516171686 + ... + 1516280578.

Almost surely, 2165106412191876 is an apocalyptic number.

165106412191876 is the 12849374-th square number.

It is an amenable number.

165106412191876 is a deficient number, since it is larger than the sum of its proper divisors (128812736188065).

165106412191876 is an frugal number, since it uses more digits than its factorization.

165106412191876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217908 (or 108954 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 165106412191876 in words is "one hundred sixty-five trillion, one hundred six billion, four hundred twelve million, one hundred ninety-one thousand, eight hundred seventy-six".

Divisors: 1 2 4 59 118 236 3481 6962 13924 108893 217786 435572 6424687 12849374 25698748 379056533 758113066 1516226132 11857685449 23715370898 47430741796 699603441491 1399206882982 2798413765964 41276603047969 82553206095938 165106412191876