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4189218924 = 2231129113167
BaseRepresentation
bin1111100110110010…
…0110100001101100
3101210221202101000110
43321230212201230
532034420001144
61531405300020
7205545526152
oct37154464154
911727671013
104189218924
11185a783200
1298ab64610
13519ba2787
142ba52b3d2
15197ba00b9
hexf9b2686c

4189218924 has 72 divisors (see below), whose sum is σ = 10759440384. Its totient is φ = 1267666400.

The previous prime is 4189218923. The next prime is 4189218937. The reversal of 4189218924 is 4298129814.

It is not an unprimeable number, because it can be changed into a prime (4189218923) 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 23 ways as a sum of consecutive naturals, for example, 1321189 + ... + 1324355.

It is an arithmetic number, because the mean of its divisors is an integer number (149436672).

Almost surely, 24189218924 is an apocalyptic number.

4189218924 is a gapful number since it is divisible by the number (44) 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 4189218924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379720192).

4189218924 is an abundant number, since it is smaller than the sum of its proper divisors (6570221460).

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

4189218924 is a wasteful number, since it uses less digits than its factorization.

4189218924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4094 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 4189218924 is about 64724.1757305568. The cubic root of 4189218924 is about 1612.0469474882.

The spelling of 4189218924 in words is "four billion, one hundred eighty-nine million, two hundred eighteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 911 1452 1822 2733 3167 3644 5466 6334 9501 10021 10932 12668 19002 20042 30063 34837 38004 40084 60126 69674 104511 110231 120252 139348 209022 220462 330693 383207 418044 440924 661386 766414 1149621 1322772 1532828 2299242 2885137 4598484 5770274 8655411 11540548 17310822 31736507 34621644 63473014 95209521 126946028 190419042 349101577 380838084 698203154 1047304731 1396406308 2094609462 4189218924