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8103993408 = 263375312641
BaseRepresentation
bin1111000110000100…
…10010000001000000
3202220210002112001000
413203002102001000
5113044110242113
63420052412000
7404552543640
oct74302220100
922823075030
108103993408
113489547215
1216a2017000
139c1c54494
1456c418520
153266dd373
hex1e3092040

8103993408 has 224 divisors, whose sum is σ = 27743627520. Its totient is φ = 2271559680.

The previous prime is 8103993407. The next prime is 8103993427. The reversal of 8103993408 is 8043993018.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (8103993407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634768 + ... + 647408.

It is an arithmetic number, because the mean of its divisors is an integer number (123855480).

Almost surely, 28103993408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8103993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871813760).

8103993408 is an abundant number, since it is smaller than the sum of its proper divisors (19639634112).

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

8103993408 is a wasteful number, since it uses less digits than its factorization.

8103993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8103993408 is about 90022.1828662247. The cubic root of 8103993408 is about 2008.6288353936.

The spelling of 8103993408 in words is "eight billion, one hundred three million, nine hundred ninety-three thousand, four hundred eight".