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5200978891008 = 28322355754521
BaseRepresentation
bin100101110101111001001…
…1111111101000100000000
3200102012122011100121221010
41023223302133331010000
51140203101044003013
615021144031400520
71044521051101605
oct113536237750400
920365564317833
105200978891008
1117257a4aa3a9a
126bbb99383140
132b95b113c494
1413da2b87c6ac
1590451aa77c3
hex4baf27fd100

5200978891008 has 144 divisors (see below), whose sum is σ = 13929479456256. Its totient is φ = 1722755235840.

The previous prime is 5200978891001. The next prime is 5200978891021. The reversal of 5200978891008 is 8001988790025.

It is not an unprimeable number, because it can be changed into a prime (5200978891001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95366788 + ... + 95421308.

It is an arithmetic number, because the mean of its divisors is an integer number (96732496224).

Almost surely, 25200978891008 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 5200978891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964739728128).

5200978891008 is an abundant number, since it is smaller than the sum of its proper divisors (8728500565248).

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

5200978891008 is a wasteful number, since it uses less digits than its factorization.

5200978891008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55320 (or 55306 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 5200978891008 in words is "five trillion, two hundred billion, nine hundred seventy-eight million, eight hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 557 669 768 892 1114 1338 1671 1784 2228 2676 3342 3568 4456 5352 6684 7136 8912 10704 13368 14272 17824 21408 26736 28544 35648 42816 53472 54521 57088 71296 85632 106944 109042 124211 142592 163563 171264 213888 218084 248422 327126 372633 427776 436168 496844 654252 745266 872336 993688 1308504 1490532 1744672 1987376 2617008 2981064 3489344 3974752 5234016 5962128 6978688 7949504 10468032 11924256 12158183 13957376 15899008 20936064 23848512 24316366 30368197 31798016 36474549 41872128 47697024 48632732 60736394 72949098 91104591 95394048 97265464 121472788 145898196 182209182 194530928 242945576 291796392 364418364 389061856 485891152 583592784 728836728 778123712 971782304 1167185568 1457673456 1556247424 1943564608 2334371136 2915346912 3112494848 3887129216 4668742272 5830693824 6772107931 7774258432 9337484544 11661387648 13544215862 20316323793 23322775296 27088431724 40632647586 54176863448 81265295172 108353726896 162530590344 216707453792 325061180688 433414907584 650122361376 866829815168 1300244722752 1733659630336 2600489445504 5200978891008