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55346320848 = 24373132311243
BaseRepresentation
bin110011100010111001…
…011101010111010000
312021212011212102002010
4303202321131113100
51401322124231343
641231543422520
73666350652000
oct634271352720
9167764772063
1055346320848
1121521612035
12a887454a40
1352b0596ca0
1429707c2000
15168de09d33
hexce2e5d5d0

55346320848 has 320 divisors, whose sum is σ = 187388006400. Its totient is φ = 13960945152.

The previous prime is 55346320831. The next prime is 55346320853. The reversal of 55346320848 is 84802364355.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55346320797 and 55346320806.

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 63 ways as a sum of consecutive naturals, for example, 4917115 + ... + 4928357.

It is an arithmetic number, because the mean of its divisors is an integer number (585587520).

Almost surely, 255346320848 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 55346320848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93694003200).

55346320848 is an abundant number, since it is smaller than the sum of its proper divisors (132041685552).

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

55346320848 is a wasteful number, since it uses less digits than its factorization.

55346320848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 55346320848 in words is "fifty-five billion, three hundred forty-six million, three hundred twenty thousand, eight hundred forty-eight".