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29144810168320 = 2135711192931541
BaseRepresentation
bin1101010000001110011100…
…00011101010000000000000
310211012012211221011002012111
412220013032003222000000
512310002032400341240
6141552535125105104
76065433364636630
oct650071603520000
9124165757132174
1029144810168320
119317276599a20
123328561b58194
13133546145a352
1472a88b33a6c0
153581cb6de1ea
hex1a81ce0ea000

29144810168320 has 1792 divisors, whose sum is σ = 98201117491200. Its totient is φ = 8026324992000.

The previous prime is 29144810168281. The next prime is 29144810168387. The reversal of 29144810168320 is 2386101844192.

It is a tau number, because it is divible by the number of its divisors (1792).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53872107250 + ... + 53872107790.

Almost surely, 229144810168320 is an apocalyptic number.

29144810168320 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 29144810168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49100558745600).

29144810168320 is an abundant number, since it is smaller than the sum of its proper divisors (69056307322880).

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

29144810168320 is a wasteful number, since it uses less digits than its factorization.

29144810168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 29144810168320 in words is "twenty-nine trillion, one hundred forty-four billion, eight hundred ten million, one hundred sixty-eight thousand, three hundred twenty".