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8372273472 = 263241536689
BaseRepresentation
bin1111100110000011…
…01100000101000000
3210121110220120002200
413303001230011000
5114121300222342
63502434513200
7414321102363
oct76301540500
923543816080
108372273472
113606a25a82
121757a35800
13a356c7494
14595cd20da
1534003394c
hex1f306c140

8372273472 has 168 divisors, whose sum is σ = 25050490920. Its totient is φ = 2670919680.

The previous prime is 8372273467. The next prime is 8372273479. The reversal of 8372273472 is 2743722738.

8372273472 is a `hidden beast` number, since 8 + 372 + 273 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320304896 + 7051968576 = 36336^2 + 83976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8372273479) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1248304 + ... + 1254992.

It is an arithmetic number, because the mean of its divisors is an integer number (149110065).

Almost surely, 28372273472 is an apocalyptic number.

8372273472 is a gapful number since it is divisible by the number (82) 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 8372273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525245460).

8372273472 is an abundant number, since it is smaller than the sum of its proper divisors (16678217448).

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

8372273472 is a wasteful number, since it uses less digits than its factorization.

8372273472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6788 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 8372273472 is about 91500.1282622052. The cubic root of 8372273472 is about 2030.5536496942.

The spelling of 8372273472 in words is "eight billion, three hundred seventy-two million, two hundred seventy-three thousand, four hundred seventy-two".