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82681623999 = 321319612932081
BaseRepresentation
bin100110100000000110…
…1010111010110111111
321220102020001200120100
41031000031113112333
52323312443431444
6101552230052143
75654633131242
oct1150015272677
9256366050510
1082681623999
1132079691967
1214035aaa053
137a48886390
144004d87259
15223db23e69
hex13403575bf

82681623999 has 96 divisors (see below), whose sum is σ = 138140533440. Its totient is φ = 47228313600.

The previous prime is 82681623919. The next prime is 82681624009. The reversal of 82681623999 is 99932618628.

82681623999 is a `hidden beast` number, since 82 + 6 + 8 + 162 + 399 + 9 = 666.

It is not a de Polignac number, because 82681623999 - 212 = 82681619903 is a prime.

It is a super-2 number, since 2×826816239992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82681623919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39730639 + ... + 39732719.

It is an arithmetic number, because the mean of its divisors is an integer number (1438963890).

Almost surely, 282681623999 is an apocalyptic number.

82681623999 is a deficient number, since it is larger than the sum of its proper divisors (55458909441).

82681623999 is a wasteful number, since it uses less digits than its factorization.

82681623999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2470 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 82681623999 in words is "eighty-two billion, six hundred eighty-one million, six hundred twenty-three thousand, nine hundred ninety-nine".

Divisors: 1 3 9 13 19 39 57 61 117 171 183 247 293 549 741 793 879 1159 2081 2223 2379 2637 3477 3809 5567 6243 7137 10431 11427 15067 16701 17873 18729 27053 34281 39539 45201 50103 53619 72371 81159 118617 126941 135603 160857 217113 232349 243477 339587 355851 380823 514007 609733 651339 697047 1018761 1142469 1542021 1650233 1829199 2091141 2411879 3056283 4414631 4626063 4950699 5487597 7235637 7926529 11584927 13243893 14852097 21706911 23779587 31354427 34754781 37193713 39731679 71338761 94063281 104264343 111581139 150604051 282189843 334743417 451812153 483518269 706680547 1355436459 1450554807 2120041641 4351664421 6360124923 9186847111 27560541333 82681623999