Search a number
-
+
84539490816 = 293117196959
BaseRepresentation
bin100111010111011110…
…0100100001000000000
322002012200222002201110
41032232330210020000
52341114102201231
6102500434403320
76051652546464
oct1165674441000
9262180862643
1084539490816
113294237a790
1214474130540
137c83757461
14413da044a4
1522ebcad046
hex13aef24200

84539490816 has 160 divisors (see below), whose sum is σ = 246069964800. Its totient is φ = 25578721280.

The previous prime is 84539490779. The next prime is 84539490839. The reversal of 84539490816 is 61809493548.

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, 12144745 + ... + 12151703.

It is an arithmetic number, because the mean of its divisors is an integer number (1537937280).

Almost surely, 284539490816 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 84539490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123034982400).

84539490816 is an abundant number, since it is smaller than the sum of its proper divisors (161530473984).

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

84539490816 is a wasteful number, since it uses less digits than its factorization.

84539490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 84539490816 in words is "eighty-four billion, five hundred thirty-nine million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 719 768 1056 1408 1438 1536 2112 2157 2816 2876 4224 4314 5632 5752 6959 7909 8448 8628 11504 13918 15818 16896 17256 20877 23008 23727 27836 31636 34512 41754 46016 47454 55672 63272 69024 76549 83508 92032 94908 111344 126544 138048 153098 167016 184064 189816 222688 229647 253088 276096 306196 334032 368128 379632 445376 459294 506176 552192 612392 668064 759264 890752 918588 1012352 1104384 1224784 1336128 1518528 1781504 1837176 2024704 2449568 2672256 3037056 3563008 3674352 4049408 4899136 5003521 5344512 6074112 7348704 9798272 10007042 10689024 12148224 14697408 15010563 19596544 20014084 29394816 30021126 39193088 40028168 55038731 58789632 60042252 80056336 110077462 117579264 120084504 160112672 165116193 220154924 240169008 320225344 330232386 440309848 480338016 640450688 660464772 880619696 960676032 1280901376 1320929544 1761239392 1921352064 2561802752 2641859088 3522478784 3842704128 5283718176 7044957568 7685408256 10567436352 14089915136 21134872704 28179830272 42269745408 84539490816