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8473489920 = 29335783211
BaseRepresentation
bin1111110010000111…
…10011001000000000
3210212112100212222000
413321003303020000
5114323203134140
63520452144000
7416660322150
oct77103631000
923775325860
108473489920
113659078435
121785908000
13a5067587c
145a551c760
15348d78a30
hex1f90f3200

8473489920 has 640 divisors, whose sum is σ = 34977761280. Its totient is φ = 1904394240.

The previous prime is 8473489891. The next prime is 8473489951. The reversal of 8473489920 is 299843748.

8473489920 is a `hidden beast` number, since 8 + 4 + 73 + 489 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40158615 + ... + 40158825.

It is an arithmetic number, because the mean of its divisors is an integer number (54652752).

Almost surely, 28473489920 is an apocalyptic number.

8473489920 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 8473489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488880640).

8473489920 is an abundant number, since it is smaller than the sum of its proper divisors (26504271360).

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

8473489920 is a wasteful number, since it uses less digits than its factorization.

8473489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8473489920 is about 92051.5612034907. The cubic root of 8473489920 is about 2038.7036746898.

The spelling of 8473489920 in words is "eight billion, four hundred seventy-three million, four hundred eighty-nine thousand, nine hundred twenty".