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1296441840996 = 2232109217412
BaseRepresentation
bin10010110111011001111…
…101001001010101100100
311120221100021001020200100
4102313121331021111210
5132220103102402441
62431324355544100
7162444015553101
oct22673175112544
94527307036610
101296441840996
1145a8aa691715
1218b3138bb030
139533bba6b03
1446a68babaa8
1523acb87acb6
hex12dd9f49564

1296441840996 has 81 divisors (see below), whose sum is σ = 3309358833963. Its totient is φ = 427936685760.

The previous prime is 1296441840977. The next prime is 1296441841021. The reversal of 1296441840996 is 6990481446921.

The square root of 1296441840996 is 1138614.

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

1296441840996 is a `hidden beast` number, since 1 + 2 + 96 + 4 + 418 + 40 + 9 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 353057002596 + 943384838400 = 594186^2 + 971280^2 .

It is a super-2 number, since 2×12964418409962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 744652686 + ... + 744654426.

Almost surely, 21296441840996 is an apocalyptic number.

1296441840996 is the 1138614-th square number.

It is an amenable number.

1296441840996 is an abundant number, since it is smaller than the sum of its proper divisors (2012916992967).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1296441840996 is an equidigital number, since it uses as much as digits as its factorization.

1296441840996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1296441840996 in words is "one trillion, two hundred ninety-six billion, four hundred forty-one million, eight hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1741 1962 3482 3924 5223 6964 10446 11881 15669 20892 23762 31338 35643 47524 62676 71286 106929 142572 189769 213858 379538 427716 569307 759076 1138614 1707921 2277228 3031081 3415842 6062162 6831684 9093243 12124324 18186486 20684821 27279729 36372972 41369642 54559458 62054463 82739284 109118916 124108926 186163389 248217852 330387829 372326778 660775658 744653556 991163487 1321551316 1982326974 2973490461 3964653948 5946980922 11893961844 36012273361 72024546722 108036820083 144049093444 216073640166 324110460249 432147280332 648220920498 1296441840996