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5235580083321 = 32721089592
BaseRepresentation
bin100110000110000000011…
…1001000001110001111001
3200112111221120121022120100
41030030000321001301321
51141234432000131241
615045105311150013
71050154361300400
oct114140071016171
920474846538510
105235580083321
1117394405139a5
12706835215309
132bc93684b483
14141591014637
15912c960c9b6
hex4c300e41c79

5235580083321 has 27 divisors (see below), whose sum is σ = 8797279926981. Its totient is φ = 2991732589944.

The previous prime is 5235580083319. The next prime is 5235580083353. The reversal of 5235580083321 is 1233800855325.

It is a happy number.

The square root of 5235580083321 is 2288139.

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

5235580083321 is a `hidden beast` number, since 5 + 2 + 35 + 580 + 0 + 8 + 3 + 32 + 1 = 666.

It is not a de Polignac number, because 5235580083321 - 21 = 5235580083319 is a prime.

It is a super-2 number, since 2×52355800833212 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5235580083311) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 47996440 + ... + 48105398.

Almost surely, 25235580083321 is an apocalyptic number.

5235580083321 is the 2288139-th square number.

5235580083321 is the 1144070-th centered octagonal number.

It is an amenable number.

5235580083321 is a deficient number, since it is larger than the sum of its proper divisors (3561699843660).

5235580083321 is an frugal number, since it uses more digits than its factorization.

5235580083321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217938 (or 108969 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5235580083321 in words is "five trillion, two hundred thirty-five billion, five hundred eighty million, eighty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 108959 326877 762713 980631 2288139 5338991 6864417 16016973 48050919 11872063681 35616191043 83104445767 106848573129 249313337301 581731120369 747940011903 1745193361107 5235580083321