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1983933342168 = 2331721131174101
BaseRepresentation
bin11100110111101011101…
…001000110000111011000
321000122212201121001210220
4130313223221012013120
5230001043413422133
64115223440440040
7263222501111031
oct34675351060730
97018781531726
101983933342168
116a5421717a78
122805bb319020
13115112a3c94b
146c046b29a88
153691771b5b3
hex1cdeba461d8

1983933342168 has 128 divisors (see below), whose sum is σ = 5293514903040. Its totient is φ = 617460480000.

The previous prime is 1983933342161. The next prime is 1983933342187. The reversal of 1983933342168 is 8612433393891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983933342161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26736318 + ... + 26810418.

It is an arithmetic number, because the mean of its divisors is an integer number (41355585180).

Almost surely, 21983933342168 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 1983933342168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646757451520).

1983933342168 is an abundant number, since it is smaller than the sum of its proper divisors (3309581560872).

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

1983933342168 is a wasteful number, since it uses less digits than its factorization.

1983933342168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74649 (or 74645 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 60.

The spelling of 1983933342168 in words is "one trillion, nine hundred eighty-three billion, nine hundred thirty-three million, three hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 211 311 408 422 622 633 844 933 1244 1266 1688 1866 2488 2532 3587 3732 5064 5287 7174 7464 10574 10761 14348 15861 21148 21522 28696 31722 42296 43044 63444 65621 74101 86088 126888 131242 148202 196863 222303 262484 296404 393726 444606 524968 592808 787452 889212 1115557 1259717 1574904 1778424 2231114 2519434 3346671 3779151 4462228 5038868 6693342 7558302 8924456 10077736 13386684 15116604 15635311 23045411 26773368 30233208 31270622 46090822 46905933 62541244 69136233 92181644 93811866 125082488 138272466 184363288 187623732 265800287 276544932 375247464 391771987 531600574 553089864 783543974 797400861 1063201148 1175315961 1567087948 1594801722 2126402296 2350631922 3134175896 3189603444 4701263844 4862581721 6379206888 9402527688 9725163442 14587745163 19450326884 29175490326 38900653768 58350980652 82663889257 116701961304 165327778514 247991667771 330655557028 495983335542 661311114056 991966671084 1983933342168