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104382482087088 = 24325394714442397
BaseRepresentation
bin10111101110111101110000…
…110000111111110010110000
3111200120212102122112102100100
4113232331300300333302300
5102140200310403241323
61010000352243152400
730662246133224112
oct2756756060776260
9450525378472310
10104382482087088
11302943a898a967
12b85a036075700
1346322c21a206a
141bac1d39393b2
15c10364295943
hex5eef70c3fcb0

104382482087088 has 120 divisors (see below), whose sum is σ = 297952101081648. Its totient is φ = 34101616513536.

The previous prime is 104382482086999. The next prime is 104382482087101. The reversal of 104382482087088 is 880780284283401.

104382482087088 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 8 + 2 + 482 + 0 + 8 + 70 + 88 = 666.

It is a super-2 number, since 2×1043824820870882 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6306 + ... + 14448702.

Almost surely, 2104382482087088 is an apocalyptic number.

104382482087088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104382482087088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148976050540824).

104382482087088 is an abundant number, since it is smaller than the sum of its proper divisors (193569618994560).

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

104382482087088 is a wasteful number, since it uses less digits than its factorization.

104382482087088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14443411 (or 14443402 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 104382482087088 in words is "one hundred four trillion, three hundred eighty-two billion, four hundred eighty-two million, eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 947 954 1272 1894 1908 2544 2841 3788 3816 5682 7576 7632 8523 11364 15152 17046 22728 34092 45456 50191 68184 100382 136368 150573 200764 301146 401528 451719 602292 803056 903438 1204584 1806876 2409168 3613752 7227504 14442397 28884794 43327191 57769588 86654382 115539176 129981573 173308764 231078352 259963146 346617528 519926292 693235056 765447041 1039852584 1530894082 2079705168 2296341123 3061788164 4592682246 6123576328 6889023369 9185364492 12247152656 13676949959 13778046738 18370728984 27353899918 27556093476 36741457968 41030849877 54707799836 55112186952 82061699754 109415599672 110224373904 123092549631 164123399508 218831199344 246185099262 328246799016 492370198524 656493598032 724878347827 984740397048 1449756695654 1969480794096 2174635043481 2899513391308 4349270086962 5799026782616 6523905130443 8698540173924 11598053565232 13047810260886 17397080347848 26095620521772 34794160695696 52191241043544 104382482087088