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29093699700 = 2232521317146273
BaseRepresentation
bin11011000110000111…
…101010000001110100
32210002120221002002100
4123012013222001310
5434040441342300
621210534542100
72046653236632
oct330607520164
983076832070
1029093699700
111137a6a921a
12577b507930
1329886a3b30
14159dd2c352
15b542a5700
hex6c61ea074

29093699700 has 216 divisors, whose sum is σ = 103985016408. Its totient is φ = 6740213760.

The previous prime is 29093699699. The next prime is 29093699731. The reversal of 29093699700 is 799639092.

It can be written as a sum of positive squares in 12 ways, for example, as 17613005796 + 11480693904 = 132714^2 + 107148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125764 + ... + 272036.

It is an arithmetic number, because the mean of its divisors is an integer number (481412113).

Almost surely, 229093699700 is an apocalyptic number.

29093699700 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 29093699700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51992508204).

29093699700 is an abundant number, since it is smaller than the sum of its proper divisors (74891316708).

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

29093699700 is a wasteful number, since it uses less digits than its factorization.

29093699700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146323 (or 146313 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 29093699700 in words is "twenty-nine billion, ninety-three million, six hundred ninety-nine thousand, seven hundred".