Search a number
-
+
99820828440 = 23335551916747
BaseRepresentation
bin101110011110111001…
…0001111011100011000
3100112122200111111002000
41130331302033130120
53113413113002230
6113505042441000
710132440020304
oct1347562173430
9315580444060
1099820828440
1139374289933
1217419963160
13954a668978
144b8d340d04
1528e3646b60
hex173dc8f718

99820828440 has 128 divisors (see below), whose sum is σ = 332816256000. Its totient is φ = 26612475264.

The previous prime is 99820828427. The next prime is 99820828477. The reversal of 99820828440 is 4482802899.

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

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, 5952147 + ... + 5968893.

It is an arithmetic number, because the mean of its divisors is an integer number (2600127000).

Almost surely, 299820828440 is an apocalyptic number.

99820828440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99820828440 is an abundant number, since it is smaller than the sum of its proper divisors (232995427560).

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

99820828440 is a wasteful number, since it uses less digits than its factorization.

99820828440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22286 (or 22276 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 99820828440 in words is "ninety-nine billion, eight hundred twenty million, eight hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 5519 11038 16557 16747 22076 27595 33114 33494 44152 49671 50241 55190 66228 66988 82785 83735 99342 100482 110380 132456 133976 149013 150723 165570 167470 198684 200964 220760 248355 251205 298026 301446 331140 334940 397368 401928 452169 496710 502410 596052 602892 662280 669880 745065 753615 904338 993420 1004820 1192104 1205784 1490130 1507230 1808676 1986840 2009640 2260845 2980260 3014460 3617352 4521690 5960520 6028920 9043380 18086760 92426693 184853386 277280079 369706772 462133465 554560158 739413544 831840237 924266930 1109120316 1386400395 1663680474 1848533860 2218240632 2495520711 2772800790 3327360948 3697067720 4159201185 4991041422 5545601580 6654721896 8318402370 9982082844 11091203160 12477603555 16636804740 19964165688 24955207110 33273609480 49910414220 99820828440