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32442200113204 = 2272535695488657
BaseRepresentation
bin1110110000001100010011…
…10100000100000000110100
311020212102222201001211212201
413120012021310010000310
513223013111212110304
6152555424015154244
76555604651006300
oct730061164040064
9136772881054781
1032442200113204
11a378729219952
12377b623215984
13151439513522b
148022d4876d00
153b3d693c73a4
hex1d8189d04034

32442200113204 has 72 divisors (see below), whose sum is σ = 67407416402760. Its totient is φ = 13617487263744.

The previous prime is 32442200113159. The next prime is 32442200113217. The reversal of 32442200113204 is 40231100224423.

It can be written as a sum of positive squares in 4 ways, for example, as 39690000 + 32442160423204 = 6300^2 + 5695802^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166444 + ... + 8655100.

It is an arithmetic number, because the mean of its divisors is an integer number (936214116705).

Almost surely, 232442200113204 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 32442200113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33703708201380).

32442200113204 is an abundant number, since it is smaller than the sum of its proper divisors (34965216289556).

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

32442200113204 is a wasteful number, since it uses less digits than its factorization.

32442200113204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489297 (or 5489288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 32442200113204 its reverse (40231100224423), we get a palindrome (72673300337627).

The spelling of 32442200113204 in words is "thirty-two trillion, four hundred forty-two billion, two hundred million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 569 742 1138 1484 2276 2597 3983 5194 7966 10388 15932 27881 30157 55762 60314 111524 120628 211099 422198 844396 1477693 2955386 5488657 5910772 10977314 21954628 38420599 76841198 153682396 268944193 290898821 537888386 581797642 1075776772 1163595284 2036291747 3123045833 4072583494 6246091666 8145166988 12492183332 14254042229 21861320831 28508084458 43722641662 57016168916 87445283324 153029245817 165521429149 306058491634 331042858298 612116983268 662085716596 1158650004043 2317300008086 4634600016172 8110550028301 16221100056602 32442200113204