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29097012672 = 26337133147127
BaseRepresentation
bin11011000110010100…
…010010110111000000
32210002211011101122000
4123012110102313000
5434042313401142
621211133544000
72050023345510
oct330624226700
983084141560
1029097012672
1111381561312
125780645000
132989293a80
1415a0551840
15b5470c14c
hex6c6512dc0

29097012672 has 896 divisors, whose sum is σ = 111862087680. Its totient is φ = 7211151360.

The previous prime is 29097012671. The next prime is 29097012683. The reversal of 29097012672 is 27621079092.

It is a super-2 number, since 2×290970126722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29097012671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229110273 + ... + 229110399.

It is an arithmetic number, because the mean of its divisors is an integer number (124846080).

Almost surely, 229097012672 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 29097012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55931043840).

29097012672 is an abundant number, since it is smaller than the sum of its proper divisors (82765075008).

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

29097012672 is a wasteful number, since it uses less digits than its factorization.

29097012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 29097012672 in words is "twenty-nine billion, ninety-seven million, twelve thousand, six hundred seventy-two".