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2048655168 = 263271034933
BaseRepresentation
bin111101000011011…
…1111111101000000
312021202220110120100
41322012333331000
513143423431133
6535141442400
7101524165410
oct17206777500
95252813510
102048655168
11961459a4a
12492110400
132685815c1
14156122640
15becc3e13
hex7a1bff40

2048655168 has 168 divisors, whose sum is σ = 6777500288. Its totient is φ = 579529728.

The previous prime is 2048655157. The next prime is 2048655173. The reversal of 2048655168 is 8615568402.

2048655168 is a `hidden beast` number, since 2 + 0 + 486 + 5 + 5 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412830 + ... + 417762.

Almost surely, 22048655168 is an apocalyptic number.

2048655168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048655168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388750144).

2048655168 is an abundant number, since it is smaller than the sum of its proper divisors (4728845120).

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

2048655168 is a wasteful number, since it uses less digits than its factorization.

2048655168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2048655168 is about 45262.0720692281. The cubic root of 2048655168 is about 1270.0562456748.

The spelling of 2048655168 in words is "two billion, forty-eight million, six hundred fifty-five thousand, one hundred sixty-eight".