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1320097784664 = 233975697511327
BaseRepresentation
bin10011001101011011111…
…101011010001101011000
311200012101212212200211010
4103031123331122031120
5133112030013102124
62450240004533520
7164242153012641
oct23153375321530
94605355780733
101320097784664
1146993986a28a
12193a160b12a0
139763bb1b409
1447c708466c8
1524513559529
hex1335bf5a358

1320097784664 has 128 divisors (see below), whose sum is σ = 3347095449600. Its totient is φ = 433824768000.

The previous prime is 1320097784653. The next prime is 1320097784701. The reversal of 1320097784664 is 4664877900231.

It is a super-2 number, since 2×13200977846642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 994797969 + ... + 994799295.

It is an arithmetic number, because the mean of its divisors is an integer number (26149183200).

Almost surely, 21320097784664 is an apocalyptic number.

It is an amenable number.

1320097784664 is an abundant number, since it is smaller than the sum of its proper divisors (2026997664936).

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

1320097784664 is a wasteful number, since it uses less digits than its factorization.

1320097784664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 1320097784664 in words is "one trillion, three hundred twenty billion, ninety-seven million, seven hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 569 582 751 776 1138 1164 1327 1502 1707 2253 2276 2328 2654 3004 3414 3981 4506 4552 5308 6008 6828 7962 9012 10616 13656 15924 18024 31848 55193 72847 110386 128719 145694 165579 218541 220772 257438 291388 331158 386157 427319 437082 441544 514876 582776 662316 755063 772314 854638 874164 996577 1029752 1281957 1324632 1510126 1544628 1709276 1748328 1993154 2265189 2563914 2989731 3020252 3089256 3418552 3986308 4530378 5127828 5979462 6040504 7972616 9060756 10255656 11958924 18121512 23917848 41449943 73241111 82899886 96667969 124349829 146482222 165799772 193335938 219723333 248699658 290003907 292964444 331599544 386671876 439446666 497399316 567052313 580007814 585928888 773343752 878893332 994798632 1134104626 1160015628 1701156939 1757786664 2268209252 2320031256 3402313878 4536418504 6804627756 13609255512 55004074361 110008148722 165012223083 220016297444 330024446166 440032594888 660048892332 1320097784664