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29048110080 = 2103511171923
BaseRepresentation
bin11011000011011001…
…101111110000000000
32202222102010212212220
4123003121233300000
5433442304010310
621202225451040
72045560601403
oct330331576000
982872125786
1029048110080
11113569a0050
1257681a0a80
13297c101022
141597c61d3a
15b5029c670
hex6c366fc00

29048110080 has 176 divisors, whose sum is σ = 101355387264. Its totient is φ = 7041925120.

The previous prime is 29048110033. The next prime is 29048110087. The reversal of 29048110080 is 8001184092.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29048110087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82999 + ... + 254921.

Almost surely, 229048110080 is an apocalyptic number.

29048110080 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 29048110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50677693632).

29048110080 is an abundant number, since it is smaller than the sum of its proper divisors (72307277184).

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

29048110080 is a wasteful number, since it uses less digits than its factorization.

29048110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171962 (or 171944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

It can be divided in two parts, 29048 and 110080, that added together give a triangular number (139128 = T527).

The spelling of 29048110080 in words is "twenty-nine billion, forty-eight million, one hundred ten thousand, eighty".