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123816872982 = 231128310631933
BaseRepresentation
bin111001101010000001…
…1111000110000010110
3102211121000021211220110
41303110003320300112
54012034104413412
6132514121143450
711642204024655
oct1632403706026
9384530254813
10123816872982
1148568440300
121bbb602ab86
13b8a2bab7aa
145dc822b19c
15334a105d3c
hex1cd40f8c16

123816872982 has 96 divisors (see below), whose sum is σ = 275873681664. Its totient is φ = 37014183360.

The previous prime is 123816872957. The next prime is 123816873017. The reversal of 123816872982 is 289278618321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64053288 + ... + 64055220.

It is an arithmetic number, because the mean of its divisors is an integer number (2873684184).

Almost surely, 2123816872982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123816872982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137936840832).

123816872982 is an abundant number, since it is smaller than the sum of its proper divisors (152056808682).

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

123816872982 is a wasteful number, since it uses less digits than its factorization.

123816872982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3095 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 123816872982 in words is "one hundred twenty-three billion, eight hundred sixteen million, eight hundred seventy-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 913 1063 1826 1933 2126 2739 3189 3866 5478 5799 6378 10043 11598 11693 20086 21263 23386 30129 35079 42526 60258 63789 70158 88229 127578 128623 160439 176458 233893 257246 264687 320878 385869 467786 481317 529374 701679 771738 962634 970519 1403358 1764829 1941038 2054779 2911557 3529658 4109558 5294487 5823114 6164337 10588974 10675709 12328674 19413119 21351418 22602569 32027127 38826238 45205138 58239357 64054254 67807707 116478714 135615414 170546657 248628259 341093314 497256518 511639971 745884777 1023279942 1491769554 1876013227 3752026454 5628039681 11256079362 20636145497 41272290994 61908436491 123816872982