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1296907596336 = 2431119129277073
BaseRepresentation
bin10010110111110101101…
…101110111001000110000
311120222112201110001220010
4102313311231313020300
5132222031321040321
62431442514414520
7162461402452302
oct22676555671060
94528481401803
101296907596336
11460019589590
1218b423891440
13953b452bba1
1446ab09ab972
1523b076cc676
hex12df5b77230

1296907596336 has 80 divisors (see below), whose sum is σ = 3847285722240. Its totient is φ = 372317967360.

The previous prime is 1296907596311. The next prime is 1296907596337. The reversal of 1296907596336 is 6336957096921.

It is a super-2 number, since 2×12969075963362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1296907596337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64628505 + ... + 64648568.

It is an arithmetic number, because the mean of its divisors is an integer number (48091071528).

Almost surely, 21296907596336 is an apocalyptic number.

1296907596336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1296907596336 is an abundant number, since it is smaller than the sum of its proper divisors (2550378125904).

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

1296907596336 is a wasteful number, since it uses less digits than its factorization.

1296907596336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129277114 (or 129277108 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 66.

The spelling of 1296907596336 in words is "one trillion, two hundred ninety-six billion, nine hundred seven million, five hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 129277073 258554146 387831219 517108292 775662438 1034216584 1422047803 1551324876 2068433168 2456264387 2844095606 3102649752 4266143409 4912528774 5688191212 6205299504 7368793161 8532286818 9825057548 11376382424 14737586322 17064573636 19650115096 22752764848 27018908257 29475172644 34129147272 39300230192 54037816514 58950345288 68258294544 81056724771 108075633028 117900690576 162113449542 216151266056 324226899084 432302532112 648453798168 1296907596336