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4523061312 = 2632711273127
BaseRepresentation
bin1000011011001100…
…00111000001000000
3102200012221022200100
410031212013001000
533230400430222
62024452522400
7220041246450
oct41546070100
912605838610
104523061312
111a11171a00
12a62920400
135710bc453
1430c9cdd60
151b71464ac
hex10d987040

4523061312 has 504 divisors, whose sum is σ = 16639121408. Its totient is φ = 1149603840.

The previous prime is 4523061281. The next prime is 4523061313. The reversal of 4523061312 is 2131603254.

4523061312 is a `hidden beast` number, since 4 + 5 + 2 + 30 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×45230613122 = 40916167264222322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4523061313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35614593 + ... + 35614719.

Almost surely, 24523061312 is an apocalyptic number.

4523061312 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 4523061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319560704).

4523061312 is an abundant number, since it is smaller than the sum of its proper divisors (12116060096).

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

4523061312 is a wasteful number, since it uses less digits than its factorization.

4523061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

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

The square root of 4523061312 is about 67253.7085371506. The cubic root of 4523061312 is about 1653.7790713434.

Adding to 4523061312 its reverse (2131603254), we get a palindrome (6654664566).

The spelling of 4523061312 in words is "four billion, five hundred twenty-three million, sixty-one thousand, three hundred twelve".