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8423493120 = 293257291801
BaseRepresentation
bin1111101100001010…
…00100111000000000
3210202001021210020200
413312011010320000
5114222403234440
63511504405200
7415512336660
oct76605047000
923661253220
108423493120
11363292a069
121771016800
13a431bba73
1459ca261a0
1534479ec30
hex1f6144e00

8423493120 has 480 divisors, whose sum is σ = 34509309120. Its totient is φ = 1857945600.

The previous prime is 8423493107. The next prime is 8423493137. The reversal of 8423493120 is 213943248.

8423493120 is a `hidden beast` number, since 8 + 42 + 3 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4676220 + ... + 4678020.

It is an arithmetic number, because the mean of its divisors is an integer number (71894394).

Almost surely, 28423493120 is an apocalyptic number.

8423493120 is a gapful number since it is divisible by the number (80) 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 8423493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254654560).

8423493120 is an abundant number, since it is smaller than the sum of its proper divisors (26085816000).

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

8423493120 is a wasteful number, since it uses less digits than its factorization.

8423493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8423493120 is about 91779.5898879484. The cubic root of 8423493120 is about 2034.6860545138.

The spelling of 8423493120 in words is "eight billion, four hundred twenty-three million, four hundred ninety-three thousand, one hundred twenty".