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5828350321152 = 29325323864773
BaseRepresentation
bin101010011010000010011…
…0000000010001000000000
3202122011222202101101211100
41110310010300002020000
51230442430140234102
620221301314414400
71141040645213532
oct124640460021000
922564882341740
105828350321152
1119478758a2137
127a16a6891400
133337c36c7aa8
1416214500d852
15a191e8c8a1c
hex54d04c02200

5828350321152 has 120 divisors (see below), whose sum is σ = 17138391989004. Its totient is φ = 1906127069184.

The previous prime is 5828350321151. The next prime is 5828350321219. The reversal of 5828350321152 is 2511230538285.

5828350321152 is a `hidden beast` number, since 5 + 8 + 2 + 83 + 503 + 2 + 11 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5157550008576 + 670800312576 = 2271024^2 + 819024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5828350321098 and 5828350321107.

It is not an unprimeable number, because it can be changed into a prime (5828350321151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11688163 + ... + 12176610.

Almost surely, 25828350321152 is an apocalyptic number.

It is an amenable number.

5828350321152 is an abundant number, since it is smaller than the sum of its proper divisors (11310041667852).

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

5828350321152 is a wasteful number, since it uses less digits than its factorization.

5828350321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864850 (or 23864831 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5828350321152 in words is "five trillion, eight hundred twenty-eight billion, three hundred fifty million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 20352 27136 30528 40704 61056 81408 122112 244224 23864773 47729546 71594319 95459092 143188638 190918184 214782957 286377276 381836368 429565914 572754552 763672736 859131828 1145509104 1264832969 1527345472 1718263656 2291018208 2529665938 3054690944 3436527312 3794498907 4582036416 5059331876 6109381888 6873054624 7588997814 9164072832 10118663752 11383496721 12218763776 13746109248 15177995628 18328145664 20237327504 22766993442 27492218496 30355991256 36656291328 40474655008 45533986884 54984436992 60711982512 80949310016 91067973768 109968873984 121423965024 161898620032 182135947536 242847930048 323797240064 364271895072 485695860096 647594480128 728543790144 971391720192 1457087580288 1942783440384 2914175160576 5828350321152