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960394120009 = 2924727192
BaseRepresentation
bin11011111100110111111…
…00110100101101001001
310101210221111222020222221
431332123330310231021
5111213341343320014
62013110551014041
7126246314220112
oct15763374645511
93353844866887
10960394120009
11340334497075
1213616a06a321
136c745a793ac
14346aa34d209
1519eae680b24
hexdf9bf34b49

960394120009 has 27 divisors (see below), whose sum is σ = 1017681640807. Its totient is φ = 906285545648.

The previous prime is 960394119991. The next prime is 960394120033. The reversal of 960394120009 is 900021493069.

The square root of 960394120009 is 979997.

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., 503607380409 + 456786739600 = 709653^2 + 675860^2 .

It is not a de Polignac number, because 960394120009 - 215 = 960394087241 is a prime.

It is a super-2 number, since 2×9603941200092 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (960394120079) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1335735552 + ... + 1335736270.

Almost surely, 2960394120009 is an apocalyptic number.

960394120009 is the 979997-th square number.

960394120009 is the 489999-th centered octagonal number.

It is an amenable number.

960394120009 is a deficient number, since it is larger than the sum of its proper divisors (57287520798).

960394120009 is an frugal number, since it uses more digits than its factorization.

960394120009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 960394120009 in words is "nine hundred sixty billion, three hundred ninety-four million, one hundred twenty thousand, nine".

Divisors: 1 29 47 719 841 1363 2209 20851 33793 39527 64061 516961 604679 979997 1588271 1857769 14991869 24297167 28419913 46059859 434764201 704617843 1141966849 1335735911 20433917447 33117038621 960394120009