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55498322880 = 26355711132331
BaseRepresentation
bin110011101011111101…
…010011001111000000
312022020202212220200000
4303223331103033000
51402130032313010
641255013400000
74003204650420
oct635375231700
9168222786600
1055498322880
112159a3a1450
12a90a339000
135305c17210
142986a6c480
15169c4327c0
hexcebf533c0

55498322880 has 2688 divisors, whose sum is σ = 286297030656. Its totient is φ = 9853747200.

The previous prime is 55498322843. The next prime is 55498322881. The reversal of 55498322880 is 8822389455.

It is a happy number.

55498322880 is a `hidden beast` number, since 55 + 498 + 3 + 2 + 28 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55498322881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1790268465 + ... + 1790268495.

It is an arithmetic number, because the mean of its divisors is an integer number (106509312).

Almost surely, 255498322880 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 55498322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143148515328).

55498322880 is an abundant number, since it is smaller than the sum of its proper divisors (230798707776).

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

55498322880 is a wasteful number, since it uses less digits than its factorization.

55498322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 55498322880 in words is "fifty-five billion, four hundred ninety-eight million, three hundred twenty-two thousand, eight hundred eighty".