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29431034200 = 235219312291091
BaseRepresentation
bin11011011010001110…
…011111000101011000
32210222002200110000201
4123122032133011120
5440233321043300
621304225111544
72061220443301
oct333216370530
983862613021
1029431034200
1111533062667
1258544885b4
132a10544149
1415d2a5d7a8
15b73bdb66a
hex6da39f158

29431034200 has 192 divisors, whose sum is σ = 74745216000. Its totient is φ = 10736064000.

The previous prime is 29431034197. The next prime is 29431034207. The reversal of 29431034200 is 243013492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29431034207) 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 47 ways as a sum of consecutive naturals, for example, 26975655 + ... + 26976745.

It is an arithmetic number, because the mean of its divisors is an integer number (389298000).

Almost surely, 229431034200 is an apocalyptic number.

29431034200 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 29431034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37372608000).

29431034200 is an abundant number, since it is smaller than the sum of its proper divisors (45314181800).

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

29431034200 is a wasteful number, since it uses less digits than its factorization.

29431034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 29431034200 its reverse (243013492), we get a palindrome (29674047692).

The spelling of 29431034200 in words is "twenty-nine billion, four hundred thirty-one million, thirty-four thousand, two hundred".