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84703896854784 = 2834639132
BaseRepresentation
bin10011010000100110101001…
…101011101110000100000000
3102002220121120012122212010000
4103100212221223232010000
542100242040043323114
6500052233311040000
723561440345511604
oct2320465153560400
9362817505585100
1084703896854784
1124a977a2604049
129600223810000
13383570a543ccc
1416cb99497d504
159bd521b49e09
hex4d09a9aee100

84703896854784 has 135 divisors (see below), whose sum is σ = 252575645849373. Its totient is φ = 28234190518272.

The previous prime is 84703896854761. The next prime is 84703896854809. The reversal of 84703896854784 is 48745869830748.

The square root of 84703896854784 is 9203472.

It is a perfect power (a square), and thus also a powerful number.

84703896854784 is a `hidden beast` number, since 8 + 4 + 7 + 0 + 3 + 8 + 9 + 68 + 547 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48625518240000 + 36078378614784 = 6973200^2 + 6006528^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1325268012 + ... + 1325331924.

Almost surely, 284703896854784 is an apocalyptic number.

84703896854784 is the 9203472-nd square number.

It is an amenable number.

84703896854784 is an abundant number, since it is smaller than the sum of its proper divisors (167871748994589).

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

84703896854784 is an frugal number, since it uses more digits than its factorization.

84703896854784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127854 (or 63918 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 81.

84703896854784 divided by its sum of digits (81) gives a square (1045727121664 = 10226082).

The spelling of 84703896854784 in words is "eighty-four trillion, seven hundred three billion, eight hundred ninety-six million, eight hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 63913 127826 191739 255652 383478 511304 575217 766956 1022608 1150434 1533912 1725651 2045216 2300868 3067824 3451302 4090432 4601736 5176953 6135648 6902604 8180864 9203472 10353906 12271296 13805208 16361728 18406944 20707812 24542592 27610416 36813888 41415624 49085184 55220832 73627776 82831248 110441664 147255552 165662496 220883328 331324992 441766656 662649984 1325299968 4084871569 8169743138 12254614707 16339486276 24509229414 32678972552 36763844121 49018458828 65357945104 73527688242 98036917656 110291532363 130715890208 147055376484 196073835312 220583064726 261431780416 294110752968 330874597089 392147670624 441166129452 522863560832 588221505936 661749194178 784295341248 882332258904 1045727121664 1176443011872 1323498388356 1568590682496 1764664517808 2352886023744 2646996776712 3137181364992 3529329035616 4705772047488 5293993553424 7058658071232 9411544094976 10587987106848 14117316142464 21175974213696 28234632284928 42351948427392 84703896854784