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29318997120 = 2735721791741
BaseRepresentation
bin11011010011100011…
…000110010010000000
32210200021212101001020
4123103203012102000
5440021130401440
621245143505440
72055360235500
oct332343062200
983607771036
1029318997120
111148589a536
125822a58280
1329c327780a
1415c1c17a00
15b68e5a3d0
hex6d38c6480

29318997120 has 384 divisors, whose sum is σ = 109382270400. Its totient is φ = 6660218880.

The previous prime is 29318997083. The next prime is 29318997121. The reversal of 29318997120 is 2179981392.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29318997121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16839450 + ... + 16841190.

Almost surely, 229318997120 is an apocalyptic number.

29318997120 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 29318997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54691135200).

29318997120 is an abundant number, since it is smaller than the sum of its proper divisors (80063273280).

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

29318997120 is a wasteful number, since it uses less digits than its factorization.

29318997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 29318997120 in words is "twenty-nine billion, three hundred eighteen million, nine hundred ninety-seven thousand, one hundred twenty".