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1327597380208 = 2411591734991481
BaseRepresentation
bin10011010100011010111…
…110000110001001110000
311200220202112200121212001
4103110122332012021300
5133222404412131313
62453520111143344
7164626046352661
oct23243276061160
94626675617761
101327597380208
11472038124430
12195369814b54
1398265797308
1448382891368
1524801b5badd
hex1351af86270

1327597380208 has 160 divisors (see below), whose sum is σ = 2877806880000. Its totient is φ = 588216883200.

The previous prime is 1327597380199. The next prime is 1327597380247. The reversal of 1327597380208 is 8020837957231.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 896418828 + ... + 896420308.

It is an arithmetic number, because the mean of its divisors is an integer number (17986293000).

Almost surely, 21327597380208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327597380208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438903440000).

1327597380208 is an abundant number, since it is smaller than the sum of its proper divisors (1550209499792).

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

1327597380208 is a wasteful number, since it uses less digits than its factorization.

1327597380208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 1327597380208 in words is "one trillion, three hundred twenty-seven billion, five hundred ninety-seven million, three hundred eighty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 173 176 236 346 472 499 649 692 944 998 1298 1384 1481 1903 1996 2596 2768 2962 3806 3992 5192 5489 5924 7612 7984 10207 10384 10978 11848 15224 16291 20414 21956 23696 29441 30448 32582 40828 43912 58882 65164 81656 86327 87379 87824 112277 117764 130328 163312 172654 174758 224554 235528 256213 260656 323851 345308 349516 449108 471056 512426 647702 690616 699032 739019 898216 949597 961169 1024852 1295404 1381232 1398064 1478038 1796432 1899194 1922338 2049704 2590808 2818343 2956076 3798388 3844676 4099408 5093293 5181616 5636686 5912152 7596776 7689352 8129209 10186586 11273372 11824304 15116567 15193552 15378704 16258418 20373172 22546744 30233134 32516836 40746344 43602121 45093488 56026223 60466268 65033672 81492688 87204242 112052446 120932536 127850287 130067344 166282237 174408484 224104892 241865072 255700574 332564474 348816968 448209784 479623331 511401148 665128948 697633936 896419568 959246662 1022802296 1330257896 1406353157 1918493324 2045604592 2660515792 2812706314 3836986648 5625412628 7543166933 7673973296 11250825256 15086333866 22501650512 30172667732 60345335464 82974836263 120690670928 165949672526 331899345052 663798690104 1327597380208