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29339685120 = 283529487541
BaseRepresentation
bin11011010100110010…
…000001000100000000
32210201201210102122110
4123110302001010000
5440041424410440
621251203135320
72056031131404
oct332462010400
983651712573
1029339685120
111149653a759
125829974540
1329c763c135
1415c4881104
15b6ab95080
hex6d4c81100

29339685120 has 288 divisors, whose sum is σ = 97313368320. Its totient is φ = 7524679680.

The previous prime is 29339685019. The next prime is 29339685169. The reversal of 29339685120 is 2158693392.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29339685120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54232050 + ... + 54232590.

It is an arithmetic number, because the mean of its divisors is an integer number (337893640).

Almost surely, 229339685120 is an apocalyptic number.

29339685120 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 29339685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48656684160).

29339685120 is an abundant number, since it is smaller than the sum of its proper divisors (67973683200).

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

29339685120 is a wasteful number, since it uses less digits than its factorization.

29339685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 29339685120 in words is "twenty-nine billion, three hundred thirty-nine million, six hundred eighty-five thousand, one hundred twenty".