Search a number
-
+
99022982328 = 23331950347969
BaseRepresentation
bin101110000111000111…
…0101100110010111000
3100110121002012200222000
41130032032230302320
53110244340413303
6113253542101000
710103611314324
oct1341616546270
9313532180860
1099022982328
1138aa498a286
121723671a760
13945128b28a
144b153b6984
152898597da3
hex170e3accb8

99022982328 has 128 divisors (see below), whose sum is σ = 290122560000. Its totient is φ = 31207597056.

The previous prime is 99022982327. The next prime is 99022982339. The reversal of 99022982328 is 82328922099.

99022982328 is a `hidden beast` number, since 9 + 90 + 229 + 8 + 2 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99022982327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040328 + ... + 2088296.

It is an arithmetic number, because the mean of its divisors is an integer number (2266582500).

Almost surely, 299022982328 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 99022982328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280000).

99022982328 is an abundant number, since it is smaller than the sum of its proper divisors (191099577672).

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

99022982328 is a wasteful number, since it uses less digits than its factorization.

99022982328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48506 (or 48496 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99022982328 in words is "ninety-nine billion, twenty-two million, nine hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 503 513 684 1006 1026 1368 1509 2012 2052 3018 4024 4104 4527 6036 9054 9557 12072 13581 18108 19114 27162 28671 36216 38228 47969 54324 57342 76456 86013 95938 108648 114684 143907 172026 191876 229368 258039 287814 344052 383752 431721 516078 575628 688104 863442 911411 1032156 1151256 1295163 1726884 1822822 2064312 2590326 2734233 3453768 3645644 5180652 5468466 7291288 8202699 10361304 10936932 16405398 21873864 24128407 24608097 32810796 48256814 49216194 65621592 72385221 96513628 98432388 144770442 193027256 196864776 217155663 289540884 434311326 458439733 579081768 651466989 868622652 916879466 1302933978 1375319199 1737245304 1833758932 2605867956 2750638398 3667517864 4125957597 5211735912 5501276796 8251915194 11002553592 12377872791 16503830388 24755745582 33007660776 49511491164 99022982328