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685877143329 = 327211323492
BaseRepresentation
bin10011111101100010111…
…01101010011100100001
32102120100221211221111100
421332301131222130201
542214134022041304
61243030531305013
7100360450345200
oct11766135523441
92376327757440
10685877143329
11244973848424
12b0b16a4b169
134c8a7573b11
14252a77ab237
1512c942a7439
hex9fb176a721

685877143329 has 81 divisors (see below), whose sum is σ = 1166090457753. Its totient is φ = 387348321024.

The previous prime is 685877143327. The next prime is 685877143331. The reversal of 685877143329 is 923341778586.

The square root of 685877143329 is 828177.

It is a perfect power (a square), and thus also a powerful number.

685877143329 is a `hidden beast` number, since 6 + 8 + 587 + 7 + 1 + 43 + 3 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (685877143327) and next prime (685877143331).

It can be written as a sum of positive squares in 4 ways, for example, as 108356180625 + 577520962704 = 329175^2 + 759948^2 .

It is not a de Polignac number, because 685877143329 - 21 = 685877143327 is a prime.

It is a super-2 number, since 2×6858771433292 (a number of 24 digits) contains 22 as substring.

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 (685877143327) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1965263847 + ... + 1965264195.

Almost surely, 2685877143329 is an apocalyptic number.

685877143329 is the 828177-th square number.

685877143329 is the 414089-th centered octagonal number.

It is an amenable number.

685877143329 is a deficient number, since it is larger than the sum of its proper divisors (480213314424).

685877143329 is an equidigital number, since it uses as much as digits as its factorization.

685877143329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 685877143329 in words is "six hundred eighty-five billion, eight hundred seventy-seven million, one hundred forty-three thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 113 147 339 349 441 791 1017 1047 2373 2443 3141 5537 7119 7329 12769 16611 17101 21987 38307 39437 49833 51303 89383 114921 118311 121801 153909 268149 276059 354933 365403 625681 804447 828177 852607 1096209 1877043 1932413 2484531 2557821 4456381 5631129 5797239 5968249 7673463 13369143 13763513 17391717 17904747 31194667 40107429 41290539 53714241 93584001 96344591 123871617 218362669 280752003 289033773 655088007 674412137 867101319 1555276969 1965264021 2023236411 4665830907 6069709233 10886938783 13997492721 32660816349 76208571481 97982449047 228625714443 685877143329