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4563112320 = 27355133761
BaseRepresentation
bin1000011111111101…
…11001000110000000
3102210000022010100000
410033332321012000
533321124043240
62032443200000
7221035546314
oct41776710600
912700263300
104563112320
111a31837908
12a74216000
135794a3280
14314057b44
151ba908430
hex10ffb9180

4563112320 has 768 divisors, whose sum is σ = 18369449280. Its totient is φ = 1074954240.

The previous prime is 4563112319. The next prime is 4563112321. The reversal of 4563112320 is 232113654.

4563112320 is a `hidden beast` number, since 4 + 5 + 631 + 1 + 2 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4563112319) and next prime (4563112321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563112321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74805090 + ... + 74805150.

Almost surely, 24563112320 is an apocalyptic number.

4563112320 is a gapful number since it is divisible by the number (40) 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 4563112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184724640).

4563112320 is an abundant number, since it is smaller than the sum of its proper divisors (13806336960).

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

4563112320 is a wasteful number, since it uses less digits than its factorization.

4563112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

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

The square root of 4563112320 is about 67550.8128744577. The cubic root of 4563112320 is about 1658.6460532838.

Adding to 4563112320 its reverse (232113654), we get a palindrome (4795225974).

The spelling of 4563112320 in words is "four billion, five hundred sixty-three million, one hundred twelve thousand, three hundred twenty".