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4109050848 = 25376918849
BaseRepresentation
bin1111010011101011…
…0010001111100000
3101121100220102002110
43310322302033200
531403404111343
61515423115320
7203553233040
oct36472621740
911540812073
104109050848
1118194a77a1
12968142b40
135063b3a46
142ada1d720
15190b16833
hexf4eb23e0

4109050848 has 96 divisors (see below), whose sum is σ = 12346387200. Its totient is φ = 1172183040.

The previous prime is 4109050817. The next prime is 4109051003. The reversal of 4109050848 is 8480509014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 459928 + ... + 468776.

It is an arithmetic number, because the mean of its divisors is an integer number (128608200).

Almost surely, 24109050848 is an apocalyptic number.

4109050848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109050848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173193600).

4109050848 is an abundant number, since it is smaller than the sum of its proper divisors (8237336352).

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

4109050848 is a wasteful number, since it uses less digits than its factorization.

4109050848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 4109050848 is about 64101.8786620174. The cubic root of 4109050848 is about 1601.6975275299.

The spelling of 4109050848 in words is "four billion, one hundred nine million, fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 1382 2073 2764 4146 4837 5528 8292 8849 9674 11056 14511 16584 17698 19348 22112 26547 29022 33168 35396 38696 53094 58044 61943 66336 70792 77392 106188 116088 123886 141584 154784 185829 212376 232176 247772 283168 371658 424752 464352 495544 743316 849504 991088 1486632 1982176 2973264 5946528 6114659 12229318 18343977 24458636 36687954 42802613 48917272 73375908 85605226 97834544 128407839 146751816 171210452 195669088 256815678 293503632 342420904 513631356 587007264 684841808 1027262712 1369683616 2054525424 4109050848