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4992171008 = 210111632719
BaseRepresentation
bin1001010011000111…
…00111110000000000
3110212220122120012112
410221203213300000
540210443433013
62143211314452
7234465516266
oct45143476000
913786576175
104992171008
112131a4aa70
12b73a4ba28
1361734a256
14355024436
151e340bba8
hex1298e7c00

4992171008 has 88 divisors (see below), whose sum is σ = 10957509120. Its totient is φ = 2254417920.

The previous prime is 4992170993. The next prime is 4992171031. The reversal of 4992171008 is 8001712994.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1834673 + ... + 1837391.

Almost surely, 24992171008 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 4992171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478754560).

4992171008 is an abundant number, since it is smaller than the sum of its proper divisors (5965338112).

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

4992171008 is a wasteful number, since it uses less digits than its factorization.

4992171008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 4992171008 is about 70655.2970979530. The cubic root of 4992171008 is about 1709.0829879162.

The spelling of 4992171008 in words is "four billion, nine hundred ninety-two million, one hundred seventy-one thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 256 326 352 512 652 704 1024 1304 1408 1793 2608 2719 2816 3586 5216 5438 5632 7172 10432 10876 11264 14344 20864 21752 28688 29909 41728 43504 57376 59818 83456 87008 114752 119636 166912 174016 229504 239272 348032 443197 459008 478544 696064 886394 918016 957088 1392128 1772788 1836032 1914176 2784256 3545576 3828352 4875167 7091152 7656704 9750334 14182304 15313408 19500668 28364608 30626816 39001336 56729216 78002672 113458432 156005344 226916864 312010688 453833728 624021376 1248042752 2496085504 4992171008