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99820330650 = 232527110928663
BaseRepresentation
bin101110011110111000…
…0010101111010011010
3100112122122120012020100
41130331300111322122
53113413001040100
6113505024040230
710132432545105
oct1347560257232
9315578505210
1099820330650
1139373a79937
1217419763076
13954a523211
144b8d25173c
1528e3599400
hex173dc15e9a

99820330650 has 144 divisors (see below), whose sum is σ = 274465825920. Its totient is φ = 26002166400.

The previous prime is 99820330639. The next prime is 99820330679. The reversal of 99820330650 is 5603302899.

99820330650 is a `hidden beast` number, since 9 + 98 + 203 + 306 + 50 = 666.

99820330650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×998203306502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99820330596 and 99820330605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3468219 + ... + 3496881.

It is an arithmetic number, because the mean of its divisors is an integer number (1906012680).

Almost surely, 299820330650 is an apocalyptic number.

99820330650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99820330650 is the 257967-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99820330650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137232912960).

99820330650 is an abundant number, since it is smaller than the sum of its proper divisors (174645495270).

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

99820330650 is a wasteful number, since it uses less digits than its factorization.

99820330650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 99820330650 in words is "ninety-nine billion, eight hundred twenty million, three hundred thirty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 109 142 150 213 218 225 327 355 426 450 545 639 654 710 981 1065 1090 1278 1635 1775 1962 2130 2725 3195 3270 3550 4905 5325 5450 6390 7739 8175 9810 10650 15478 15975 16350 23217 24525 28663 31950 38695 46434 49050 57326 69651 77390 85989 116085 139302 143315 171978 193475 232170 257967 286630 348255 386950 429945 515934 580425 696510 716575 859890 1160850 1289835 1433150 1741275 2035073 2149725 2579670 3124267 3482550 4070146 4299450 6105219 6248534 6449175 9372801 10175365 12210438 12898350 15621335 18315657 18745602 20350730 28118403 30526095 31242670 36631314 46864005 50876825 56236806 61052190 78106675 91578285 93728010 101753650 140592015 152630475 156213350 183156570 221822957 234320025 281184030 305260950 443645914 457891425 468640050 665468871 702960075 915782850 1109114785 1330937742 1405920150 1996406613 2218229570 3327344355 3992813226 5545573925 6654688710 9982033065 11091147850 16636721775 19964066130 33273443550 49910165325 99820330650