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5380864268256 = 253218683556487
BaseRepresentation
bin100111001001101010010…
…0000001101011111100000
3201001101221200102121022200
41032103110200031133200
51201130002223041011
615235533535333200
71063516555424601
oct116232440153740
921041850377280
105380864268256
111795014667424
1272aa20681200
1330054b0c04c9
1414861435bda8
1594e7e1bd856
hex4e4d480d7e0

5380864268256 has 36 divisors (see below), whose sum is σ = 15301832763672. Its totient is φ = 1793621422656.

The previous prime is 5380864268189. The next prime is 5380864268261. The reversal of 5380864268256 is 6528624680835.

It is a happy number.

5380864268256 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 86 + 426 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 5380864268193 and 5380864268202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9341777956 + ... + 9341778531.

It is an arithmetic number, because the mean of its divisors is an integer number (425050910102).

Almost surely, 25380864268256 is an apocalyptic number.

It is an amenable number.

5380864268256 is an abundant number, since it is smaller than the sum of its proper divisors (9920968495416).

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

5380864268256 is a wasteful number, since it uses less digits than its factorization.

5380864268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18683556503 (or 18683556492 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 5380864268256 in words is "five trillion, three hundred eighty billion, eight hundred sixty-four million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18683556487 37367112974 56050669461 74734225948 112101338922 149468451896 168152008383 224202677844 298936903792 336304016766 448405355688 597873807584 672608033532 896810711376 1345216067064 1793621422752 2690432134128 5380864268256