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5083431808 = 2771329101149
BaseRepresentation
bin1001011101111111…
…10000001110000000
3111010021101002111011
410232333300032000
540402324304213
62200231330304
7236654312620
oct45677601600
914107332434
105083431808
112179512614
12b9a520994
13630221020
143631bc880
151eb43703d
hex12eff0380

5083431808 has 256 divisors, whose sum is σ = 13109040000. Its totient is φ = 1909555200.

The previous prime is 5083431803. The next prime is 5083431809. The reversal of 5083431808 is 8081343805.

It is a super-2 number, since 2×50834318082 = 51682557893172297728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083431803) 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, 34116918 + ... + 34117066.

Almost surely, 25083431808 is an apocalyptic number.

5083431808 is a gapful number since it is divisible by the number (58) 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 5083431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554520000).

5083431808 is an abundant number, since it is smaller than the sum of its proper divisors (8025608192).

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

5083431808 is a wasteful number, since it uses less digits than its factorization.

5083431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 5083431808 is about 71298.1893739245. The cubic root of 5083431808 is about 1719.4346221805.

The spelling of 5083431808 in words is "five billion, eighty-three million, four hundred thirty-one thousand, eight hundred eight".