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32663141244 = 22334717213739
BaseRepresentation
bin11110011010110111…
…111111101101111100
310010022100110111101000
4132122313333231330
51013343231004434
623001044250300
72234265056016
oct363267775574
9103270414330
1032663141244
1112941545508
1263b69a0990
133107044a16
14181c0051b6
15cb282cb99
hex79adffb7c

32663141244 has 96 divisors (see below), whose sum is σ = 86557363200. Its totient is φ = 10647020160.

The previous prime is 32663141219. The next prime is 32663141249. The reversal of 32663141244 is 44214136623.

32663141244 is a `hidden beast` number, since 3 + 2 + 6 + 631 + 4 + 12 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 32663141199 and 32663141208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32663141249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8733927 + ... + 8737665.

It is an arithmetic number, because the mean of its divisors is an integer number (901639200).

Almost surely, 232663141244 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 32663141244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43278681600).

32663141244 is an abundant number, since it is smaller than the sum of its proper divisors (53894221956).

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

32663141244 is a wasteful number, since it uses less digits than its factorization.

32663141244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5512 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 32663141244 its reverse (44214136623), we get a palindrome (76877277867).

The spelling of 32663141244 in words is "thirty-two billion, six hundred sixty-three million, one hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 1721 2538 3442 3739 5076 5163 6884 7478 10326 11217 14956 15489 20652 22434 30978 33651 44868 46467 61956 67302 80887 92934 100953 134604 161774 175733 185868 201906 242661 323548 351466 403812 485322 527199 702932 727983 970644 1054398 1455966 1581597 2108796 2183949 2911932 3163194 4367898 4744791 6326388 6434819 8735796 9489582 12869638 18979164 19304457 25739276 38608914 57913371 77217828 115826742 173740113 231653484 302436493 347480226 604872986 694960452 907309479 1209745972 1814618958 2721928437 3629237916 5443856874 8165785311 10887713748 16331570622 32663141244