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63664266246636 = 223112311580389501
BaseRepresentation
bin11100111100110111111011…
…11110010111100111101100
322100102020121011210102211110
432132123331332113213230
531321033404124343021
6343222543220552020
716260406603221216
oct1636337576274754
9270366534712743
1063664266246636
1119315955632700
127182689b52610
13296a68c5c7a63
1411a151cbc55b6
157560c11d0476
hex39e6fdf979ec

63664266246636 has 144 divisors (see below), whose sum is σ = 168561897606144. Its totient is φ = 18668482800000.

The previous prime is 63664266246619. The next prime is 63664266246671.

63664266246636 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×636642662466363 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711279886 + ... + 711369386.

It is an arithmetic number, because the mean of its divisors is an integer number (1170568733376).

Almost surely, 263664266246636 is an apocalyptic number.

63664266246636 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63664266246636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84280948803072).

63664266246636 is an abundant number, since it is smaller than the sum of its proper divisors (104897631359508).

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

63664266246636 is a wasteful number, since it uses less digits than its factorization.

63664266246636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105364 (or 105351 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 66.

The spelling of 63664266246636 in words is "sixty-three trillion, six hundred sixty-four billion, two hundred sixty-six million, two hundred forty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 15803 22506 31606 45012 47409 63212 89501 94818 173833 179002 189636 268503 347666 358004 489893 521499 537006 695332 979786 984511 1042998 1074012 1469679 1912163 1959572 1969022 2085996 2774531 2939358 2953533 3824326 3938044 5388823 5549062 5736489 5878716 5907066 7648652 8323593 10777646 10829621 11098124 11472978 11814132 16166469 16647186 21555292 21659242 22945956 30519841 32332938 32488863 33294372 43318484 59277053 61039682 64665876 64977726 91559523 118554106 122079364 129955452 177831159 183119046 237108212 335718251 355662318 366238092 671436502 711324636 1007154753 1342873004 1414384303 2014309506 2828768606 4028619012 4243152909 5657537212 8486305818 15558227333 16972611636 31116454666 43845913393 46674681999 62232909332 87691826786 93349363998 131537740179 171140500663 175383653572 186698727996 263075480358 342281001326 482305047323 513421501989 526150960716 684562002652 964610094646 1026843003978 1446915141969 1929220189292 2053686007956 2893830283938 5305355520553 5787660567876 10610711041106 15916066561659 21221422082212 31832133123318 63664266246636