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29214570112 = 2771337531279
BaseRepresentation
bin11011001101010100…
…101111011010000000
32210102000100221010021
4123031110233122000
5434312412220422
621230533343224
72052651514540
oct331524573200
983360327107
1029214570112
1111431954a22
1257b3a97b14
1329a7743ca0
1415b1dd3320
15b5ebcddc7
hex6cd52f680

29214570112 has 256 divisors, whose sum is σ = 75014553600. Its totient is φ = 11024252928.

The previous prime is 29214570089. The next prime is 29214570113. The reversal of 29214570112 is 21107541292.

It is a super-2 number, since 2×292145701122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29214570113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22841089 + ... + 22842367.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 229214570112 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 29214570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37507276800).

29214570112 is an abundant number, since it is smaller than the sum of its proper divisors (45799983488).

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

29214570112 is a wasteful number, since it uses less digits than its factorization.

29214570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 29214570112 in words is "twenty-nine billion, two hundred fourteen million, five hundred seventy thousand, one hundred twelve".