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82773878940 = 22345213123977
BaseRepresentation
bin100110100010110110…
…1010010100010011100
321220122122122201120000
41031011231102202130
52324010103111230
6102005323254300
75660133235134
oct1150555224234
9256578581500
1082773878940
1132116773415
121406097a390
137a61a177bc
14401331dac4
152246c98b60
hex1345b5289c

82773878940 has 120 divisors (see below), whose sum is σ = 259797409872. Its totient is φ = 22061756160.

The previous prime is 82773878921. The next prime is 82773878987. The reversal of 82773878940 is 4987837728.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3440232 + ... + 3464208.

Almost surely, 282773878940 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 82773878940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129898704936).

82773878940 is an abundant number, since it is smaller than the sum of its proper divisors (177023530932).

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

82773878940 is a wasteful number, since it uses less digits than its factorization.

82773878940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26129 (or 26118 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 82773878940 in words is "eighty-two billion, seven hundred seventy-three million, eight hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2131 4262 6393 8524 10655 12786 19179 21310 23977 25572 31965 38358 42620 47954 57537 63930 71931 76716 95895 95908 115074 119885 127860 143862 172611 191790 215793 230148 239770 287685 287724 345222 359655 383580 431586 479540 575370 647379 690444 719310 863055 863172 1078965 1150740 1294758 1438620 1726110 1942137 2157930 2589516 3236895 3452220 3884274 4315860 6473790 7768548 9710685 12947580 19421370 38842740 51094987 102189974 153284961 204379948 255474935 306569922 459854883 510949870 613139844 766424805 919709766 1021899740 1379564649 1532849610 1839419532 2299274415 2759129298 3065699220 4138693947 4598548830 5518258596 6897823245 8277387894 9197097660 13795646490 16554775788 20693469735 27591292980 41386939470 82773878940