Search a number
-
+
99872441552128 = 287714943158803
BaseRepresentation
bin10110101101010101011101…
…011001101100110100000000
3111002121201020011120222112111
4112231111131121230310000
5101042302230014132003
6552224433302305104
730015355130212540
oct2655253531546400
9432551204528474
1099872441552128
1129905734650323
12b24bb46728194
134395c1404821b
141a93bcdb01320
15b82da0e8de6d
hex5ad55d66cd00

99872441552128 has 144 divisors (see below), whose sum is σ = 231091133607936. Its totient is φ = 42190820259840.

The previous prime is 99872441552119. The next prime is 99872441552141. The reversal of 99872441552128 is 82125514427899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628828375 + ... + 628987177.

It is an arithmetic number, because the mean of its divisors is an integer number (1604799538944).

Almost surely, 299872441552128 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 99872441552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115545566803968).

99872441552128 is an abundant number, since it is smaller than the sum of its proper divisors (131218692055808).

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

99872441552128 is a wasteful number, since it uses less digits than its factorization.

99872441552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163840 (or 163826 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 67.

The spelling of 99872441552128 in words is "ninety-nine trillion, eight hundred seventy-two billion, four hundred forty-one million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 448 497 568 896 994 1136 1792 1988 2272 3976 4544 4943 7952 9088 9886 15904 18176 19772 31808 34601 39544 63616 69202 79088 127232 138404 158176 158803 276808 316352 317606 350953 553616 632704 635212 701906 1107232 1111621 1265408 1270424 1403812 2214464 2223242 2456671 2540848 2807624 4428928 4446484 4913342 5081696 5615248 8857856 8892968 9826684 10163392 11230496 11275013 17785936 19653368 20326784 22460992 22550026 35571872 39306736 40653568 44921984 45100052 71143744 78613472 78925091 89843968 90200104 142287488 157226944 157850182 180400208 284574976 314453888 315700364 360800416 628907776 631400728 721600832 784963229 1262801456 1443201664 1569926458 2525602912 2886403328 3139852916 5051205824 5494742603 6279705832 10102411648 10989485206 12559411664 20204823296 21978970412 25118823328 43957940824 50237646656 55732389259 87915881648 100475293312 111464778518 175831763296 200950586624 222929557036 351663526592 390126724813 445859114072 703327053184 780253449626 891718228144 1406654106368 1560506899252 1783436456288 3121013798504 3566872912576 6242027597008 7133745825152 12484055194016 14267491650304 24968110388032 49936220776064 99872441552128