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8473135104 = 211327173863
BaseRepresentation
bin1111110010000100…
…11100100000000000
3210212111200212020200
413321002130200000
5114323110310404
63520440405200
7416654313540
oct77102344000
923774625220
108473135104
1136589558a5
121785776800
13a50580215
145a5469320
15348d08839
hex1f909c800

8473135104 has 288 divisors, whose sum is σ = 29620805760. Its totient is φ = 2277900288.

The previous prime is 8473135093. The next prime is 8473135129. The reversal of 8473135104 is 4015313748.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2191477 + ... + 2195339.

It is an arithmetic number, because the mean of its divisors is an integer number (102850020).

Almost surely, 28473135104 is an apocalyptic number.

8473135104 is a gapful number since it is divisible by the number (84) 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 8473135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810402880).

8473135104 is an abundant number, since it is smaller than the sum of its proper divisors (21147670656).

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

8473135104 is a wasteful number, since it uses less digits than its factorization.

8473135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8473135104 is about 92049.6339156218. The cubic root of 8473135104 is about 2038.6752183007.

The spelling of 8473135104 in words is "eight billion, four hundred seventy-three million, one hundred thirty-five thousand, one hundred four".