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9729149064 = 233405381211
BaseRepresentation
bin10010000111110011…
…10000100010001000
3221010001002222111020
421003321300202020
5124411130232224
64245225232440
7463045255035
oct110371604210
927101088436
109729149064
11414293a768
121a76332720
13bc085724b
146841ba38c
153be20ac79
hex243e70888

9729149064 has 16 divisors (see below), whose sum is σ = 24322872720. Its totient is φ = 3243049680.

The previous prime is 9729149039. The next prime is 9729149069. The reversal of 9729149064 is 4609419279.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9729148998 and 9729149016.

It is not an unprimeable number, because it can be changed into a prime (9729149069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202690582 + ... + 202690629.

It is an arithmetic number, because the mean of its divisors is an integer number (1520179545).

Almost surely, 29729149064 is an apocalyptic number.

It is an amenable number.

9729149064 is an abundant number, since it is smaller than the sum of its proper divisors (14593723656).

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

9729149064 is a wasteful number, since it uses less digits than its factorization.

9729149064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405381220 (or 405381216 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9729149064 is about 98636.4489628454. The cubic root of 9729149064 is about 2134.8053662241.

The spelling of 9729149064 in words is "nine billion, seven hundred twenty-nine million, one hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 405381211 810762422 1216143633 1621524844 2432287266 3243049688 4864574532 9729149064