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997872756353781 = 372117910773005281
BaseRepresentation
bin1110001011100011110101101…
…1001011000110101011110101
311211212011201000002221110211020
43202320331123023012223311
52021243121401111310111
613454144225445331353
7420120633066443100
oct34270753313065365
94755151002843736
10997872756353781
11269a53506522060
1293b02513106b59
1333aa4cc69a6659
141385b428a5d737
157a56e61472906
hex38b8f5b2c6af5

997872756353781 has 96 divisors (see below), whose sum is σ = 1725774781409280. Its totient is φ = 507030430233600.

The previous prime is 997872756353771. The next prime is 997872756353801. The reversal of 997872756353781 is 187353657278799.

It is not a de Polignac number, because 997872756353781 - 210 = 997872756352757 is a prime.

It is a super-2 number, since 2×9978727563537812 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997872756353771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22834140 + ... + 50171141.

It is an arithmetic number, because the mean of its divisors is an integer number (17976820639680).

Almost surely, 2997872756353781 is an apocalyptic number.

It is an amenable number.

997872756353781 is a deficient number, since it is larger than the sum of its proper divisors (727902025055499).

997872756353781 is a wasteful number, since it uses less digits than its factorization.

997872756353781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73005495 (or 73005488 counting only the distinct ones).

The product of its digits is 33606316800, while the sum is 87.

The spelling of 997872756353781 in words is "nine hundred ninety-seven trillion, eight hundred seventy-two billion, seven hundred fifty-six million, three hundred fifty-three thousand, seven hundred eighty-one".

Divisors: 1 3 7 11 21 33 49 77 79 107 147 231 237 321 539 553 749 869 1177 1617 1659 2247 2607 3531 3871 5243 6083 8239 8453 11613 15729 18249 24717 25359 42581 57673 59171 92983 127743 173019 177513 278949 414197 650881 1242591 1952643 4556167 13668501 73005281 219015843 511036967 803058091 1533110901 2409174273 3577258769 5621406637 5767417199 7811565067 10731776307 16864219911 17302251597 23434695201 39349846459 40371920393 54680955469 63441589189 85927215737 118049539377 121115761179 164042866407 190324767567 257781647211 282603442751 382766688283 444091124323 601490510159 617113640293 847810328253 1148300064849 1332273372969 1804471530477 1851340920879 3108637870261 4210433571113 4319795482051 6788250043223 9325913610783 12631300713339 12959386446153 20364750129669 30238568374357 47517750302561 90715705123071 142553250907683 332624252117927 997872756353781