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684965848569486 = 231123747521536593
BaseRepresentation
bin1001101110111110010000101…
…0000101100101011010001110
310022211021002120200220220022120
42123233210022011211122032
51204234440024213210421
610424444544453553410
7264164102160652101
oct23357441205453216
93284232520826276
10684965848569486
11189284426549400
12649a6b78945866
1323528005269543
14c120749a6c738
15542c8010158c6
hex26ef90a16568e

684965848569486 has 96 divisors (see below), whose sum is σ = 1546525217084064. Its totient is φ = 201950906572800.

The previous prime is 684965848569467. The next prime is 684965848569487.

684965848569486 is nontrivially palindromic in base 10.

684965848569486 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 684965848569393 and 684965848569402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684965848569487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276240806 + ... + 1276777398.

It is an arithmetic number, because the mean of its divisors is an integer number (16109637677959).

Almost surely, 2684965848569486 is an apocalyptic number.

684965848569486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 684965848569486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773262608542032).

684965848569486 is an abundant number, since it is smaller than the sum of its proper divisors (861559368514578).

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

684965848569486 is a wasteful number, since it uses less digits than its factorization.

684965848569486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584178 (or 584167 counting only the distinct ones).

The product of its digits is 687970713600, while the sum is 96.

The spelling of 684965848569486 in words is "six hundred eighty-four trillion, nine hundred sixty-five billion, eight hundred forty-eight million, five hundred sixty-nine thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 26862 47521 95042 142563 285126 522731 536593 1045462 1073186 1568193 1609779 1758277 3136386 3219558 3516554 5274831 5750041 5902523 10549662 11500082 11805046 17250123 17707569 19341047 19853941 34500246 35415138 38682094 39707882 58023141 59561823 64927753 116046282 119123646 129855506 194783259 212751517 218393351 389566518 425503034 436786702 638254551 655180053 1276509102 1310360106 2402326861 4804653722 7206980583 14413961166 25499435953 50998871906 76498307859 152996615718 280493795483 560987590966 841481386449 943479130261 1682962772898 1886958260522 2830437390783 3085431750313 5660874781566 6170863500626 9256295250939 10378270432871 18512590501878 20756540865742 31134811298613 62269622597226 114160974761581 228321949523162 342482924284743 684965848569486