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32668838004 = 223113168311689
BaseRepresentation
bin11110011011001101…
…101110100001110100
310010022202011220212010
4132123031232201310
51013401210304004
623001410324220
72234364353445
oct363315564164
9103282156763
1032668838004
1112944786580
1263b8889670
13310828a99a
14181ca892cc
15cb30a5a89
hex79b36e874

32668838004 has 96 divisors (see below), whose sum is σ = 85972561920. Its totient is φ = 9565459200.

The previous prime is 32668837991. The next prime is 32668838029. The reversal of 32668838004 is 40083886623.

It is a happy number.

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, 2788992 + ... + 2800680.

It is an arithmetic number, because the mean of its divisors is an integer number (895547520).

Almost surely, 232668838004 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 32668838004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42986280960).

32668838004 is an abundant number, since it is smaller than the sum of its proper divisors (53303723916).

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

32668838004 is a wasteful number, since it uses less digits than its factorization.

32668838004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12421 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 32668838004 in words is "thirty-two billion, six hundred sixty-eight million, eight hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 683 1023 1364 1366 2046 2049 2732 4092 4098 7513 8196 11689 15026 21173 22539 23378 30052 35067 42346 45078 46756 63519 70134 84692 90156 127038 128579 140268 232903 254076 257158 362359 385737 465806 514316 698709 724718 771474 931612 1087077 1397418 1449436 1542948 2174154 2794836 3985949 4348308 7971898 7983587 11957847 15943796 15967174 23915694 23950761 31934348 47831388 47901522 87819457 95803044 175638914 247491197 263458371 351277828 494982394 526916742 742473591 989964788 1053833484 1484947182 2722403167 2969894364 5444806334 8167209501 10889612668 16334419002 32668838004