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5305337248456 = 237277041175673
BaseRepresentation
bin100110100110011111010…
…1111011111101011001000
3200210012000002000110122001
41031030332233133223020
51143410312313422311
615141123245240344
71055204126356600
oct115147657375310
920705002013561
105305337248456
111765a876265a3
127182628630b4
132c63a289184b
14144acb697c00
159300d7524c1
hex4d33ebdfac8

5305337248456 has 48 divisors (see below), whose sum is σ = 11571806243340. Its totient is φ = 2273673507840.

The previous prime is 5305337248403. The next prime is 5305337248481. The reversal of 5305337248456 is 6548427335035.

It can be written as a sum of positive squares in 2 ways, for example, as 4565341595556 + 739995652900 = 2136666^2 + 860230^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5305337248397 and 5305337248406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30112236 + ... + 30287908.

Almost surely, 25305337248456 is an apocalyptic number.

5305337248456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5305337248456 is an abundant number, since it is smaller than the sum of its proper divisors (6266468994884).

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

5305337248456 is a wasteful number, since it uses less digits than its factorization.

5305337248456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252734 (or 252723 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 55.

The spelling of 5305337248456 in words is "five trillion, three hundred five billion, three hundred thirty-seven million, two hundred forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 77041 154082 175673 308164 351346 539287 616328 702692 1078574 1229711 1405384 2157148 2459422 3775009 4314296 4918844 7550018 8607977 9837688 15100036 17215954 30200072 34431908 68863816 13534023593 27068047186 54136094372 94738165151 108272188744 189476330302 378952660604 663167156057 757905321208 1326334312114 2652668624228 5305337248456