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4363134048 = 25327213171399
BaseRepresentation
bin1000001000001000…
…00010010001100000
3102021002000011201100
410010010002101200
532413430242143
62000541034400
7213060012300
oct40404022140
912232004640
104363134048
11193996a209
12a19255a00
13546c25b30
142d567d600
151a80a56d3
hex104102460

4363134048 has 432 divisors, whose sum is σ = 16469762400. Its totient is φ = 1082253312.

The previous prime is 4363134043. The next prime is 4363134059. The reversal of 4363134048 is 8404313634.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4363134043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3118053 + ... + 3119451.

It is an arithmetic number, because the mean of its divisors is an integer number (38124450).

Almost surely, 24363134048 is an apocalyptic number.

4363134048 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 4363134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234881200).

4363134048 is an abundant number, since it is smaller than the sum of its proper divisors (12106628352).

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

4363134048 is a wasteful number, since it uses less digits than its factorization.

4363134048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4363134048 is about 66054.0237078711. The cubic root of 4363134048 is about 1634.0531756751.

The spelling of 4363134048 in words is "four billion, three hundred sixty-three million, one hundred thirty-four thousand, forty-eight".