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5505218460 = 2236571719167
BaseRepresentation
bin1010010000010001…
…01111011110011100
3112012200001002000000
411020020233132130
542233313442320
62310135534300
7253265404410
oct51010573634
915180032000
105505218460
112375609125
12109782a390
13699720021
143a3214d40
152234a0c90
hex14822f79c

5505218460 has 672 divisors, whose sum is σ = 22211159040. Its totient is φ = 1115265024.

The previous prime is 5505218449. The next prime is 5505218473. The reversal of 5505218460 is 648125055.

5505218460 is a `hidden beast` number, since 5 + 50 + 521 + 84 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32965297 + ... + 32965463.

It is an arithmetic number, because the mean of its divisors is an integer number (33052320).

Almost surely, 25505218460 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 5505218460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105579520).

5505218460 is an abundant number, since it is smaller than the sum of its proper divisors (16705940580).

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

5505218460 is a wasteful number, since it uses less digits than its factorization.

5505218460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5505218460 is about 74197.1593795881. The cubic root of 5505218460 is about 1765.7322633600.

The spelling of 5505218460 in words is "five billion, five hundred five million, two hundred eighteen thousand, four hundred sixty".