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7689281985 = 32571121711867
BaseRepresentation
bin1110010100101000…
…10010000111000001
3201211212201222220200
413022110102013001
5111221424010420
63310555555413
7361355550510
oct71224220701
921755658820
107689281985
113296443400
1215a715bb69
139570619c8
1452d304677
153000c0b90
hex1ca5121c1

7689281985 has 144 divisors (see below), whose sum is σ = 17729083008. Its totient is φ = 3007319040.

The previous prime is 7689281953. The next prime is 7689281989. The reversal of 7689281985 is 5891829867.

It is a happy number.

It is not a de Polignac number, because 7689281985 - 25 = 7689281953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7689281989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642022 + ... + 653888.

It is an arithmetic number, because the mean of its divisors is an integer number (123118632).

Almost surely, 27689281985 is an apocalyptic number.

It is an amenable number.

7689281985 is an abundant number, since it is smaller than the sum of its proper divisors (10039801023).

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

7689281985 is a wasteful number, since it uses less digits than its factorization.

7689281985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11910 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 7689281985 is about 87688.5510485833. The cubic root of 7689281985 is about 1973.7641777828.

The spelling of 7689281985 in words is "seven billion, six hundred eighty-nine million, two hundred eighty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 55 63 77 85 99 105 119 121 153 165 187 231 255 315 357 363 385 495 561 595 605 693 765 847 935 1071 1089 1155 1309 1683 1785 1815 2057 2541 2805 3465 3927 4235 5355 5445 6171 6545 7623 8415 10285 11781 11867 12705 14399 18513 19635 30855 35601 38115 43197 58905 59335 71995 83069 92565 106803 129591 130537 178005 201739 215985 249207 391611 415345 534015 605217 647955 652685 747621 913759 1008695 1174833 1246035 1412173 1435907 1815651 1958055 2219129 2741277 3026085 3738105 4236519 4307721 4568795 5874165 6657387 7060865 7179535 8223831 9078255 10051349 11095645 12709557 12923163 13706385 15533903 19972161 21182595 21538605 24410419 30154047 33286935 41119155 46601709 50256745 63547785 64615815 73231257 77669515 90462141 99860805 122052095 139805127 150770235 170872933 219693771 233008545 366156285 452310705 512618799 699025635 854364665 1098468855 1537856397 2563093995 7689281985