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5439168000 = 29325371971
BaseRepresentation
bin1010001000011001…
…10001111000000000
3112001001202100210200
411010030301320000
542114411334000
62255420125200
7251534110440
oct50414617000
915031670720
105439168000
1123412a5472
121079696800
13688b35106
14398540120
1521c7a5500
hex144331e00

5439168000 has 960 divisors, whose sum is σ = 23899898880. Its totient is φ = 1161216000.

The previous prime is 5439167999. The next prime is 5439168001. The reversal of 5439168000 is 8619345.

It is an interprime number because it is at equal distance from previous prime (5439167999) and next prime (5439168001).

It is a tau number, because it is divible by the number of its divisors (960).

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 (5439168001) 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 95 ways as a sum of consecutive naturals, for example, 76607965 + ... + 76608035.

It is an arithmetic number, because the mean of its divisors is an integer number (24895728).

Almost surely, 25439168000 is an apocalyptic number.

5439168000 is a gapful number since it is divisible by the number (50) 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 5439168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949949440).

5439168000 is an abundant number, since it is smaller than the sum of its proper divisors (18460730880).

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

5439168000 is a wasteful number, since it uses less digits than its factorization.

5439168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5439168000 is about 73750.7152507689. The cubic root of 5439168000 is about 1758.6422034516.

The spelling of 5439168000 in words is "five billion, four hundred thirty-nine million, one hundred sixty-eight thousand".