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2339510966116 = 222324128112
BaseRepresentation
bin100010000010110101101…
…110000101011101100100
322021122200112121220211121
4202002311232011131210
5301312304301403431
64550431223143324
7331011156046432
oct42026556053544
98248615556747
102339510966116
118221a9a49795
123194b55a4b44
1313c7cc02c96c
148133925dd52
1540cc9274611
hex220b5b85764

2339510966116 has 81 divisors (see below), whose sum is σ = 4392239281689. Its totient is φ = 1090260388800.

The previous prime is 2339510966113. The next prime is 2339510966123. The reversal of 2339510966116 is 6116690159332.

It is a happy number.

The square root of 2339510966116 is 1529546.

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., 112730748516 + 2226780217600 = 335754^2 + 1492240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2339510966113) 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 26 ways as a sum of consecutive naturals, for example, 2884723351 + ... + 2884724161.

Almost surely, 22339510966116 is an apocalyptic number.

2339510966116 is the 1529546-th square number.

It is an amenable number.

2339510966116 is a deficient number, since it is larger than the sum of its proper divisors (2052728315573).

2339510966116 is an frugal number, since it uses more digits than its factorization.

2339510966116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The spelling of 2339510966116 in words is "two trillion, three hundred thirty-nine billion, five hundred ten million, nine hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 23 41 46 82 92 164 529 811 943 1058 1622 1681 1886 2116 3244 3362 3772 6724 18653 21689 33251 37306 38663 43378 66502 74612 77326 86756 133004 154652 429019 657721 764773 858038 889249 1315442 1363291 1529546 1716076 1778498 2630884 2726582 3059092 3556996 5453164 15127583 17589779 26966561 30255166 31355693 35179558 53933122 60510332 62711386 70359116 107866244 125422772 347934409 620230903 695868818 721180939 1105629001 1240461806 1391737636 1442361878 2211258002 2480923612 2884723756 4422516004 14265310769 25429467023 28530621538 50858934046 57061243076 101717868092 584877741529 1169755483058 2339510966116