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5083446576768 = 27371979599813
BaseRepresentation
bin100100111111001010100…
…0001110000011010000000
3122222222021010120102220120
41021332111001300122000
51131241344310424033
614451145250140240
71033160354650410
oct111762501603200
918888233512816
105083446576768
11168a97208179a
126a1257b81680
132ab4a027c101
1413807c174640
158c3735981b3
hex49f95070680

5083446576768 has 128 divisors (see below), whose sum is σ = 15510227483520. Its totient is φ = 1445040500736.

The previous prime is 5083446576737. The next prime is 5083446576799. The reversal of 5083446576768 is 8676756443805.

It is an interprime number because it is at equal distance from previous prime (5083446576737) and next prime (5083446576799).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4270371 + ... + 5329442.

It is an arithmetic number, because the mean of its divisors is an integer number (121173652215).

Almost surely, 25083446576768 is an apocalyptic number.

It is an amenable number.

5083446576768 is an abundant number, since it is smaller than the sum of its proper divisors (10426780906752).

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

5083446576768 is a wasteful number, since it uses less digits than its factorization.

5083446576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600034 (or 9600022 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 69.

The spelling of 5083446576768 in words is "five trillion, eighty-three billion, four hundred forty-six million, five hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 336 384 394 448 591 672 788 896 1182 1344 1379 1576 2364 2688 2758 3152 4137 4728 5516 6304 8274 9456 11032 12608 16548 18912 22064 25216 33096 37824 44128 66192 75648 88256 132384 176512 264768 529536 9599813 19199626 28799439 38399252 57598878 67198691 76798504 115197756 134397382 153597008 201596073 230395512 268794764 307194016 403192146 460791024 537589528 614388032 806384292 921582048 1075179056 1228776064 1612768584 1843164096 1891163161 2150358112 3225537168 3686328192 3782326322 4300716224 5673489483 6451074336 7564652644 8601432448 11346978966 12902148672 13238142127 15129305288 22693957932 25804297344 26476284254 30258610576 39714426381 45387915864 52952568508 60517221152 79428852762 90775831728 105905137016 121034442304 158857705524 181551663456 211810274032 242068884608 317715411048 363103326912 423620548064 635430822096 726206653824 847241096128 1270861644192 1694482192256 2541723288384 5083446576768