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4566538368 = 273271733311
BaseRepresentation
bin1000100000010111…
…11101100010000000
3102210020202011222200
410100023331202000
533323013211433
62033044433200
7221106635640
oct42013754200
912706664880
104566538368
111a33767957
12a753a8800
1357a102812
143146aa520
151bad83613
hex1102fd880

4566538368 has 192 divisors, whose sum is σ = 15901816320. Its totient is φ = 1227939840.

The previous prime is 4566538349. The next prime is 4566538369. The reversal of 4566538368 is 8638356654.

It is a happy number.

4566538368 is a `hidden beast` number, since 45 + 6 + 6 + 538 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45665383682 = 41706545332832206848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4566538369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120433 + ... + 153743.

It is an arithmetic number, because the mean of its divisors is an integer number (82821960).

Almost surely, 24566538368 is an apocalyptic number.

4566538368 is a gapful number since it is divisible by the number (48) 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 4566538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950908160).

4566538368 is an abundant number, since it is smaller than the sum of its proper divisors (11335277952).

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

4566538368 is a wasteful number, since it uses less digits than its factorization.

4566538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33355 (or 33340 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 4566538368 is about 67576.1671597317. The cubic root of 4566538368 is about 1659.0610609216.

The spelling of 4566538368 in words is "four billion, five hundred sixty-six million, five hundred thirty-eight thousand, three hundred sixty-eight".