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9829929316 = 228925572
BaseRepresentation
bin10010010011110100…
…01101000101100100
3221101001202011000011
421021322031011210
5130112430214231
64303225300004
7465411010024
oct111172150544
927331664004
109829929316
114194814429
121aa4034604
13c086b1c2c
14693731a84
153c7eb69b1
hex249e8d164

9829929316 has 27 divisors (see below), whose sum is σ = 17429124139. Its totient is φ = 4851015488.

The previous prime is 9829929287. The next prime is 9829929323. The reversal of 9829929316 is 6139299289.

The square root of 9829929316 is 99146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5220062500 + 4609866816 = 72250^2 + 67896^2 .

It is a Duffinian number.

Its product of digits (3779136) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17647710 + ... + 17648266.

Almost surely, 29829929316 is an apocalyptic number.

9829929316 is the 99146-th square number.

It is an amenable number.

9829929316 is a deficient number, since it is larger than the sum of its proper divisors (7599194823).

9829929316 is an frugal number, since it uses more digits than its factorization.

9829929316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 58.

The cubic root of 9829929316 is about 2142.1512501145.

The spelling of 9829929316 in words is "nine billion, eight hundred twenty-nine million, nine hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 4 89 178 356 557 1114 2228 7921 15842 31684 49573 99146 198292 310249 620498 1240996 4411997 8823994 17647988 27612161 55224322 110448644 2457482329 4914964658 9829929316