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29298339840 = 212357112563
BaseRepresentation
bin11011010010010100…
…010011000000000000
32210121211222212120210
4123102110103000000
5440000333333330
621243125034120
72055016531260
oct332224230000
983554885523
1029298339840
1111475170400
125817b55940
1329bbbc4183
1415bd19b7a0
15b672298b0
hex6d2513000

29298339840 has 624 divisors, whose sum is σ = 117969272064. Its totient is φ = 6077153280.

The previous prime is 29298339839. The next prime is 29298339857. The reversal of 29298339840 is 4893389292.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 52039399 + ... + 52039961.

Almost surely, 229298339840 is an apocalyptic number.

29298339840 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 29298339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58984636032).

29298339840 is an abundant number, since it is smaller than the sum of its proper divisors (88670932224).

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

29298339840 is a wasteful number, since it uses less digits than its factorization.

29298339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 29298339840 in words is "twenty-nine billion, two hundred ninety-eight million, three hundred thirty-nine thousand, eight hundred forty".