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664636768686 = 2341110331711423
BaseRepresentation
bin10011010101111110111…
…00000100000110101110
32100112112200100010010000
421222333130010012232
541342134003044221
61225155132325130
766006214214532
oct11527734040656
92315480303100
10664636768686
112369641465a0
12a89896137a6
134a8a0c097b7
1424250885bc2
151244e6c7e26
hex9abf7041ae

664636768686 has 160 divisors (see below), whose sum is σ = 1645760083968. Its totient is φ = 198803108160.

The previous prime is 664636768681. The next prime is 664636768703. The reversal of 664636768686 is 686867636466.

664636768686 is a `hidden beast` number, since 6 + 6 + 463 + 6 + 7 + 6 + 86 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664636768681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58178371 + ... + 58189793.

Almost surely, 2664636768686 is an apocalyptic number.

664636768686 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 664636768686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822880041984).

664636768686 is an abundant number, since it is smaller than the sum of its proper divisors (981123315282).

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

664636768686 is a wasteful number, since it uses less digits than its factorization.

664636768686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11859 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 664636768686 in words is "six hundred sixty-four billion, six hundred thirty-six million, seven hundred sixty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 103 162 198 206 297 309 317 594 618 634 891 927 951 1133 1782 1854 1902 2266 2781 2853 3399 3487 5562 5706 6798 6974 8343 8559 10197 10461 11423 16686 17118 20394 20922 22846 25677 30591 31383 32651 34269 51354 61182 62766 65302 68538 91773 94149 97953 102807 125653 183546 188298 195906 205614 251306 282447 293859 308421 359161 376959 564894 587718 616842 718322 753918 881577 925263 1077483 1130877 1176569 1763154 1850526 2154966 2261754 2353138 2644731 3232449 3392631 3529707 3621091 5289462 6464898 6785262 7059414 7242182 9697347 10177893 10589121 10863273 12942259 19394694 20355786 21178242 21726546 25884518 29092041 31767363 32589819 38826777 39832001 58184082 63534726 65179638 77653554 79664002 95302089 97769457 116480331 119496003 190604178 195538914 232960662 238992006 293308371 349440993 358488009 372972373 586616742 698881986 716976018 745944746 1048322979 1075464027 1118917119 2096645958 2150928054 2237834238 3226392081 3356751357 4102696103 6452784162 6713502714 8205392206 10070254071 12308088309 20140508142 24616176618 30210762213 36924264927 60421524426 73848529854 110772794781 221545589562 332318384343 664636768686