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29903230080 = 27365107599
BaseRepresentation
bin11011110110010111…
…110001010010000000
32212012000012111000000
4123312113301102000
5442220211330310
621423134000000
72106013155543
oct336627612200
985160174000
1029903230080
1111755659399
125966646000
132a873128a9
14163965885a
15ba03b14c0
hex6f65f1480

29903230080 has 448 divisors, whose sum is σ = 108364392000. Its totient is φ = 7886481408.

The previous prime is 29903230073. The next prime is 29903230087. The reversal of 29903230080 is 8003230992.

It is an interprime number because it is at equal distance from previous prime (29903230073) and next prime (29903230087).

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

It is not an unprimeable number, because it can be changed into a prime (29903230087) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 49921621 + ... + 49922219.

Almost surely, 229903230080 is an apocalyptic number.

29903230080 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 29903230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54182196000).

29903230080 is an abundant number, since it is smaller than the sum of its proper divisors (78461161920).

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

29903230080 is an equidigital number, since it uses as much as digits as its factorization.

29903230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 29903230080 in words is "twenty-nine billion, nine hundred three million, two hundred thirty thousand, eighty".