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55256575913280 = 263357389383547
BaseRepresentation
bin11001001000001011011001…
…00101000010110101000000
321020122110212210010020212000
430210011230211002311000
524220310431413211110
6313304304234104000
714432104314441000
oct1444055445026500
9236573783106760
1055256575913280
1116674200626875
12624511757b000
1324aa899056171
14d9060ac88000
1565c53c6441c0
hex32416c942d40

55256575913280 has 1792 divisors, whose sum is σ = 230902824960000. Its totient is φ = 12432786702336.

The previous prime is 55256575913269. The next prime is 55256575913389. The reversal of 55256575913280 is 8231957565255.

55256575913280 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 6 + 5 + 7 + 591 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 101017505967 + ... + 101017506513.

Almost surely, 255256575913280 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 55256575913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115451412480000).

55256575913280 is an abundant number, since it is smaller than the sum of its proper divisors (175646249046720).

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

55256575913280 is a wasteful number, since it uses less digits than its factorization.

55256575913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 63.

The spelling of 55256575913280 in words is "fifty-five trillion, two hundred fifty-six billion, five hundred seventy-five million, nine hundred thirteen thousand, two hundred eighty".