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81042667776 = 283371674989
BaseRepresentation
bin100101101111010000…
…1001111100100000000
321202012000002002022000
41023132201033210000
52311433410332101
6101121441344000
75566212211230
oct1133641174400
9252160062260
1081042667776
1131408522894
1213859038000
137847160bb5
143ccb431cc0
152194ccc486
hex12de84f900

81042667776 has 144 divisors (see below), whose sum is σ = 273894364800. Its totient is φ = 23155034112.

The previous prime is 81042667757. The next prime is 81042667781. The reversal of 81042667776 is 67776624018.

81042667776 is a `hidden beast` number, since 81 + 0 + 426 + 6 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×810426677762 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789111 + ... + 885878.

It is an arithmetic number, because the mean of its divisors is an integer number (1902044200).

Almost surely, 281042667776 is an apocalyptic number.

It is an amenable number.

81042667776 is an abundant number, since it is smaller than the sum of its proper divisors (192851697024).

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

81042667776 is a wasteful number, since it uses less digits than its factorization.

81042667776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675021 (or 1675001 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 81042667776 in words is "eighty-one billion, forty-two million, six hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 1674989 3349978 5024967 6699956 10049934 11724923 13399912 15074901 20099868 23449846 26799824 30149802 35174769 40199736 45224703 46899692 53599648 60299604 70349538 80399472 90449406 93799384 105524307 107199296 120599208 140699076 160798944 180898812 187598768 211048614 214398592 241198416 281398152 316572921 321597888 361797624 375197536 422097228 428797184 482396832 562796304 633145842 643195776 723595248 750395072 844194456 964793664 1125592608 1266291684 1286391552 1447190496 1500790144 1688388912 1929587328 2251185216 2532583368 2894380992 3001580288 3376777824 3859174656 4502370432 5065166736 5788761984 6753555648 9004740864 10130333472 11577523968 13507111296 20260666944 27014222592 40521333888 81042667776