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4099772196 = 2232131931107139
BaseRepresentation
bin1111010001011101…
…1000111100100100
3101120201110000011200
43310113120330210
531344020202241
61514452202500
7203411326422
oct36427307444
911521400150
104099772196
11181423a593
12965009430
135044b5610
142ac6c6112
1518edd24b6
hexf45d8f24

4099772196 has 288 divisors, whose sum is σ = 12328243200. Its totient is φ = 1137473280.

The previous prime is 4099772191. The next prime is 4099772203. The reversal of 4099772196 is 6912779904.

It is not an unprimeable number, because it can be changed into a prime (4099772191) 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 95 ways as a sum of consecutive naturals, for example, 29494695 + ... + 29494833.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 24099772196 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 4099772196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

4099772196 is an abundant number, since it is smaller than the sum of its proper divisors (8228471004).

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

4099772196 is a wasteful number, since it uses less digits than its factorization.

4099772196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 4099772196 is about 64029.4634992360. The cubic root of 4099772196 is about 1600.4910206505.

The spelling of 4099772196 in words is "four billion, ninety-nine million, seven hundred seventy-two thousand, one hundred ninety-six".