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55495964160 = 2934571317173
BaseRepresentation
bin110011101011110100…
…010011011000000000
312022020121110002010000
4303223310103120000
51402123431323120
641254451040000
74003145624610
oct635364233000
9168217402100
1055495964160
112159903029a
12a9095a0000
13530559c720
142986616a40
15169c118990
hexcebd13600

55495964160 has 1600 divisors, whose sum is σ = 260526575232. Its totient is φ = 10956570624.

The previous prime is 55495964159. The next prime is 55495964201. The reversal of 55495964160 is 6146959455.

55495964160 is a `hidden beast` number, since 5 + 5 + 4 + 9 + 596 + 41 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55495964097 and 55495964106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320785834 + ... + 320786006.

Almost surely, 255495964160 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 55495964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130263287616).

55495964160 is an abundant number, since it is smaller than the sum of its proper divisors (205030611072).

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

55495964160 is a wasteful number, since it uses less digits than its factorization.

55495964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 55495964160 in words is "fifty-five billion, four hundred ninety-five million, nine hundred sixty-four thousand, one hundred sixty".