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84005680584 = 23373116130123
BaseRepresentation
bin100111000111100100…
…0001111010111001000
322000211111111201202010
41032033020033113020
52334020423234314
6102331445135520
76032511334440
oct1161710172710
9260744451663
1084005680584
1132699020201
12143453ba5a0
137bc9c95007
1440ccb6b120
1522b9eb7059
hex138f20f5c8

84005680584 has 64 divisors (see below), whose sum is σ = 247758704640. Its totient is φ = 23227375680.

The previous prime is 84005680579. The next prime is 84005680613. The reversal of 84005680584 is 48508650048.

It is a happy number.

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, 8059854 + ... + 8070269.

It is an arithmetic number, because the mean of its divisors is an integer number (3871229760).

Almost surely, 284005680584 is an apocalyptic number.

84005680584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84005680584 is an abundant number, since it is smaller than the sum of its proper divisors (163753024056).

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

84005680584 is a wasteful number, since it uses less digits than its factorization.

84005680584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130170 (or 16130166 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 84005680584 in words is "eighty-four billion, five million, six hundred eighty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 16130123 32260246 48390369 64520492 96780738 112910861 129040984 193561476 225821722 338732583 387122952 451643444 500033813 677465166 903286888 1000067626 1354930332 1500101439 2000135252 2709860664 3000202878 3500236691 4000270504 6000405756 7000473382 10500710073 12000811512 14000946764 21001420146 28001893528 42002840292 84005680584