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29417271492 = 223723157293331
BaseRepresentation
bin11011011001011001…
…111111000011000100
32210221010210020010210
4123121121333003010
5440221310141432
621303014115420
72060662452630
oct333131770304
983833706123
1029417271492
1111526312524
12584b94bb70
132a0a735a2b
1415d0cb9dc0
15b728bd8cc
hex6d967f0c4

29417271492 has 192 divisors, whose sum is σ = 82909016064. Its totient is φ = 7936980480.

The previous prime is 29417271491. The next prime is 29417271539.

29417271492 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (29417271491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88873767 + ... + 88874097.

It is an arithmetic number, because the mean of its divisors is an integer number (431817792).

Almost surely, 229417271492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29417271492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41454508032).

29417271492 is an abundant number, since it is smaller than the sum of its proper divisors (53491744572).

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

29417271492 is a wasteful number, since it uses less digits than its factorization.

29417271492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 29417271492 in words is "twenty-nine billion, four hundred seventeen million, two hundred seventy-one thousand, four hundred ninety-two".