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6438921681031 = 74317121312
BaseRepresentation
bin101110110110010110110…
…1000111011100010000111
3211210112222112010011211221
41131230231220323202013
51320443402422243111
621405555541541211
71233124324150000
oct135545550734207
924715875104757
106438921681031
112062805476894
1287baa5a14807
13379259521318
141839072661a7
15b2757866371
hex5db2da3b887

6438921681031 has 90 divisors (see below), whose sum is σ = 7925181577888. Its totient is φ = 5225618034000.

The previous prime is 6438921681007. The next prime is 6438921681047. The reversal of 6438921681031 is 1301861298346.

It is not a de Polignac number, because 6438921681031 - 213 = 6438921672839 is a prime.

It is a super-2 number, since 2×64389216810312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6438921681031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438921681001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 49152073836 + ... + 49152073966.

Almost surely, 26438921681031 is an apocalyptic number.

6438921681031 is a deficient number, since it is larger than the sum of its proper divisors (1486259896857).

6438921681031 is an frugal number, since it uses more digits than its factorization.

6438921681031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 6438921681031 in words is "six trillion, four hundred thirty-eight billion, nine hundred twenty-one million, six hundred eighty-one thousand, thirty-one".

Divisors: 1 7 31 49 71 131 217 343 497 917 1519 2201 2401 3479 4061 5041 6419 9301 10633 15407 17161 24353 28427 35287 44933 65107 74431 107849 120127 156271 170471 198989 247009 288331 314531 455749 531991 660371 754943 840889 1093897 1218431 1392923 1729063 2018317 3190243 3723937 4622597 5284601 5886223 7657279 8529017 9750461 12103441 14128219 20471501 22331701 26067559 32358179 37771361 41203561 53600953 59703119 86508601 98897533 143300507 182472913 226507253 264399527 375206671 417921833 605560207 692282731 1003103549 1277310391 1585550771 1850796689 2681766631 2925452831 4238921449 7021724843 12955576823 18772366417 29672450143 49152073901 90689037761 131406564919 207707151001 919845954433 6438921681031