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4056603012 = 223371123127167
BaseRepresentation
bin1111000111001010…
…1101100110000100
3101110201012210012000
43301302231212010
531301442244022
61510311025300
7202345361640
oct36162554604
911421183160
104056603012
1117a1934980
1295266b230
134c857c417
142a6a89c20
1518b2066ac
hexf1cad984

4056603012 has 384 divisors, whose sum is σ = 13872660480. Its totient is φ = 993928320.

The previous prime is 4056603011. The next prime is 4056603043. The reversal of 4056603012 is 2103066504.

4056603012 is a `hidden beast` number, since 4 + 0 + 56 + 603 + 0 + 1 + 2 = 666.

4056603012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4056603011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24290953 + ... + 24291119.

It is an arithmetic number, because the mean of its divisors is an integer number (36126720).

Almost surely, 24056603012 is an apocalyptic number.

4056603012 is a gapful number since it is divisible by the number (42) 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 4056603012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

4056603012 is an abundant number, since it is smaller than the sum of its proper divisors (9816057468).

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

4056603012 is a wasteful number, since it uses less digits than its factorization.

4056603012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4056603012 is about 63691.4673406101. The cubic root of 4056603012 is about 1594.8536485182.

Adding to 4056603012 its reverse (2103066504), we get a palindrome (6159669516).

The spelling of 4056603012 in words is "four billion, fifty-six million, six hundred three thousand, twelve".