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90199910304 = 2532726391717
BaseRepresentation
bin101010000000001010…
…1010110011110100000
322121211012001012111200
41110000111112132200
52434212134112204
6105234241041200
76342144405300
oct1240025263640
9277735035450
1090199910304
1135287552719
1215593926200
1386763777ba
144519699600
15252dbb9539
hex15005567a0

90199910304 has 108 divisors (see below), whose sum is σ = 298384571394. Its totient is φ = 25771398912.

The previous prime is 90199910303. The next prime is 90199910327. The reversal of 90199910304 is 40301999109.

It can be written as a sum of positive squares in only one way, i.e., 90180090000 + 19820304 = 300300^2 + 4452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90199910304.

It is not an unprimeable number, because it can be changed into a prime (90199910303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3181747 + ... + 3209970.

Almost surely, 290199910304 is an apocalyptic number.

It is an amenable number.

90199910304 is an abundant number, since it is smaller than the sum of its proper divisors (208184661090).

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

90199910304 is a wasteful number, since it uses less digits than its factorization.

90199910304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391747 (or 6391729 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 90199910304 in words is "ninety billion, one hundred ninety-nine million, nine hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 6391717 12783434 19175151 25566868 38350302 44742019 51133736 57525453 76700604 89484038 102267472 115050906 134226057 153401208 178968076 204534944 230101812 268452114 306802416 313194133 357936152 402678171 460203624 536904228 613604832 626388266 715872304 805356342 920407248 939582399 1073808456 1252776532 1431744608 1610712684 1840814496 1879164798 2147616912 2505553064 2818747197 3221425368 3758329596 4295233824 5011106128 5637494394 6442850736 7516659192 10022212256 11274988788 12885701472 15033318384 22549977576 30066636768 45099955152 90199910304