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684685081017 = 3271711348711617
BaseRepresentation
bin10011111011010100110…
…10010011100110111001
32102110021212202220102100
421331222122103212321
542204213340043032
61242312345254013
7100316064106650
oct11755232234671
92373255686370
10684685081017
11244411973363
12b0843794309
134c7475cb5c2
14251d3346197
1512c247d897c
hex9f6a6939b9

684685081017 has 96 divisors (see below), whose sum is σ = 1209934582272. Its totient is φ = 364194496512.

The previous prime is 684685081009. The next prime is 684685081019. The reversal of 684685081017 is 710180586486.

It is a happy number.

684685081017 is a `hidden beast` number, since 68 + 4 + 68 + 508 + 1 + 0 + 17 = 666.

It is not a de Polignac number, because 684685081017 - 23 = 684685081009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (684685081019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58932393 + ... + 58944009.

It is an arithmetic number, because the mean of its divisors is an integer number (12603485232).

Almost surely, 2684685081017 is an apocalyptic number.

It is an amenable number.

684685081017 is a deficient number, since it is larger than the sum of its proper divisors (525249501255).

684685081017 is a wasteful number, since it uses less digits than its factorization.

684685081017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 684685081017 in words is "six hundred eighty-four billion, six hundred eighty-five million, eighty-one thousand, seventeen".

Divisors: 1 3 7 9 17 21 51 63 113 119 153 339 357 487 791 1017 1071 1461 1921 2373 3409 4383 5763 7119 8279 10227 11617 13447 17289 24837 30681 34851 40341 55031 57953 74511 81319 104553 121023 165093 173859 197489 243957 385217 495279 521577 592467 731871 935527 1155651 1312721 1382423 1777401 2806581 3466953 3938163 4147269 5657479 6548689 8419743 9189047 11814489 12441807 16972437 19646067 22316257 27567141 39602353 50917311 58938201 66948771 82701423 96177143 118807059 156213799 200846313 288531429 356421177 468641397 639295127 673240001 865594287 1405924191 1917885381 2019720003 4475065889 5753656143 6059160009 10868017159 13425197667 32604051477 40275593001 76076120113 97812154431 228228360339 684685081017