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663664787466366 = 2372910146711552161
BaseRepresentation
bin1001011011100110010111111…
…1111010000010100001111110
310020000211201211010110022121010
42112321211333322002201332
51143441440441042410431
610311255221105020050
7256535125055004420
oct22671457772024176
93200751733408533
10663664787466366
11182511723901754
1262526822624626
13226414230a910a
14b9c5793370810
1551ad69e008846
hex25b997fe8287e

663664787466366 has 128 divisors (see below), whose sum is σ = 1588187535068160. Its totient is φ = 180879100416000.

The previous prime is 663664787466323. The next prime is 663664787466367.

663664787466366 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663664787466367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51673326 + ... + 63225486.

It is an arithmetic number, because the mean of its divisors is an integer number (12407715117720).

Almost surely, 2663664787466366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663664787466366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794093767534080).

663664787466366 is an abundant number, since it is smaller than the sum of its proper divisors (924522747601794).

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

663664787466366 is a wasteful number, since it uses less digits than its factorization.

663664787466366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552770.

The product of its digits is 94810963968, while the sum is 84.

The spelling of 663664787466366 in words is "six hundred sixty-three trillion, six hundred sixty-four billion, seven hundred eighty-seven million, four hundred sixty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 101 174 202 203 303 406 467 606 609 707 934 1218 1401 1414 2121 2802 2929 3269 4242 5858 6538 8787 9807 13543 17574 19614 20503 27086 40629 41006 47167 61509 81258 94334 94801 123018 141501 189602 283002 284403 330169 568806 660338 990507 1367843 1981014 2735686 4103529 8207058 9574901 11552161 19149802 23104322 28724703 34656483 57449406 69312966 80865127 161730254 242595381 335012669 485190762 670025338 1005038007 1166768261 2010076014 2333536522 2345088683 3500304783 4690177366 5394859187 7000609566 7035266049 8167377827 10789718374 14070532098 16184577561 16334755654 24502133481 32369155122 33836279569 37764014309 49004266962 67672559138 75528028618 101508838707 113292042927 156450916423 203017677414 226584085854 236853956983 312901832846 469352749269 473707913966 544880777887 710561870949 938705498538 1089761555774 1095156414961 1421123741898 1634642333661 2190312829922 3269284667322 3285469244883 3814165445209 6570938489766 7628330890418 11442496335627 15801542558723 22884992671254 31603085117446 47404627676169 94809255352338 110610797911061 221221595822122 331832393733183 663664787466366