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29483939520 = 2633571034733
BaseRepresentation
bin11011011101011000…
…010011011011000000
32211002210020022111000
4123131120103123000
5440340342031040
621313355052000
72062432231230
oct333530233300
984083208430
1029483939520
111155aa08172
12586a141000
132a1b4a8a79
1415d9ab1cc0
15b7868c130
hex6dd6136c0

29483939520 has 448 divisors, whose sum is σ = 120051210240. Its totient is φ = 6672347136.

The previous prime is 29483939509. The next prime is 29483939549. The reversal of 29483939520 is 2593938492.

29483939520 is a `hidden beast` number, since 2 + 9 + 4 + 83 + 9 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6227074 + ... + 6231806.

Almost surely, 229483939520 is an apocalyptic number.

29483939520 is a gapful number since it is divisible by the number (20) 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 29483939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60025605120).

29483939520 is an abundant number, since it is smaller than the sum of its proper divisors (90567270720).

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

29483939520 is a wasteful number, since it uses less digits than its factorization.

29483939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 29483939520 in words is "twenty-nine billion, four hundred eighty-three million, nine hundred thirty-nine thousand, five hundred twenty".