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673864468376 = 2311313975031237
BaseRepresentation
bin10011100111001010111…
…00111100011110011000
32101102100202212211101012
421303211130330132120
542020033300442001
61233322530113052
766453663321221
oct11634534743630
92342322784335
10673864468376
1123a869a19990
12aa723a1b788
134b7118c2028
1424888210248
15127de8812bb
hex9ce573c798

673864468376 has 128 divisors (see below), whose sum is σ = 1430397480960. Its totient is φ = 294848294400.

The previous prime is 673864468369. The next prime is 673864468391.

673864468376 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544756430 + ... + 544757666.

It is an arithmetic number, because the mean of its divisors is an integer number (11174980320).

Almost surely, 2673864468376 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 673864468376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715198740480).

673864468376 is an abundant number, since it is smaller than the sum of its proper divisors (756533012584).

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

673864468376 is a wasteful number, since it uses less digits than its factorization.

673864468376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2181 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 68.

The spelling of 673864468376 in words is "six hundred seventy-three billion, eight hundred sixty-four million, four hundred sixty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 397 503 682 794 1006 1237 1364 1588 2012 2474 2728 3176 4024 4367 4948 5533 8734 9896 11066 12307 13607 15593 17468 22132 24614 27214 31186 34936 38347 44264 49228 54428 62372 76694 98456 108856 124744 135377 153388 171523 199691 270754 306776 343046 399382 421817 491089 541508 622211 686092 798764 843634 982178 1083016 1244422 1372184 1597528 1687268 1964356 2196601 2488844 3374536 3928712 4393202 4977688 5401979 6190421 6844321 8786404 10803958 12380842 13688642 15223759 17572808 19288541 21607916 24761684 27377284 30447518 38577082 43215832 49523368 54754568 60895036 68094631 77154164 121790072 136189262 154308328 167461349 212173951 247017767 272378524 334922698 424347902 494035534 544757048 669845396 848695804 988071068 1339690792 1697391608 1976142136 2717195437 5434390874 7657550777 10868781748 15315101554 21737563496 30630203108 61260406216 84233058547 168466117094 336932234188 673864468376