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55017498790080 = 26325174736436563
BaseRepresentation
bin11001000001001110000100…
…11110001100100011000000
321012210121210002100000211100
430200213002132030203000
524202401314142240310
6313002405013414400
714405611623432051
oct1440470236144300
9235717702300740
1055017498790080
1116591876844632
12620691503a400
132491187c2aaa8
14d82c0adcc728
156561e8732ec0
hex3209c278c8c0

55017498790080 has 672 divisors, whose sum is σ = 204719403193344. Its totient is φ = 13508751163392.

The previous prime is 55017498790003. The next prime is 55017498790091. The reversal of 55017498790080 is 8009789471055.

55017498790080 is a `hidden beast` number, since 5 + 50 + 1 + 7 + 498 + 7 + 90 + 0 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8382976879 + ... + 8382983441.

Almost surely, 255017498790080 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 55017498790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102359701596672).

55017498790080 is an abundant number, since it is smaller than the sum of its proper divisors (149701904403264).

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

55017498790080 is a wasteful number, since it uses less digits than its factorization.

55017498790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 55017498790080 in words is "fifty-five trillion, seventeen billion, four hundred ninety-eight million, seven hundred ninety thousand, eighty".