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82483269990 = 235112382913109
BaseRepresentation
bin100110011010001100…
…0101101000101100110
321212220101211021000120
41030310120231011212
52322411204114430
6101520422422410
75650004140542
oct1146430550546
9255811737016
1082483269990
1131a87723630
1213b9b591a06
137a16757344
143dc68b2a22
15222b4e2610
hex133462d166

82483269990 has 128 divisors (see below), whose sum is σ = 225634636800. Its totient is φ = 19102026240.

The previous prime is 82483269961. The next prime is 82483269991. The reversal of 82483269990 is 9996238428.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82483269991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6285556 + ... + 6298664.

It is an arithmetic number, because the mean of its divisors is an integer number (1762770600).

Almost surely, 282483269990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82483269990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112817318400).

82483269990 is an abundant number, since it is smaller than the sum of its proper divisors (143151366810).

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

82483269990 is a wasteful number, since it uses less digits than its factorization.

82483269990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982.

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 82483269990 in words is "eighty-two billion, four hundred eighty-three million, two hundred sixty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 829 1265 1518 1658 2487 2530 3795 4145 4974 7590 8290 9119 12435 13109 18238 19067 24870 26218 27357 38134 39327 45595 54714 57201 65545 78654 91190 95335 114402 131090 136785 144199 190670 196635 209737 273570 286005 288398 301507 393270 419474 432597 572010 603014 629211 720995 865194 904521 1048685 1258422 1441990 1507535 1809042 2097370 2162985 3015070 3146055 3316577 4325970 4522605 6292110 6633154 9045210 9949731 10867361 16582885 19899462 21734722 32602083 33165770 49748655 54336805 65204166 99497310 108673610 119540971 163010415 239081942 249949303 326020830 358622913 499898606 597704855 717245826 749847909 1195409710 1249746515 1499695818 1793114565 2499493030 2749442333 3586229130 3749239545 5498884666 7498479090 8248326999 13747211665 16496653998 27494423330 41241634995 82483269990