Search a number
-
+
7004919864 = 2334138318587
BaseRepresentation
bin1101000011000011…
…01001100000111000
3200002011222210120110
412201201221200320
5103321224413424
63115031424320
7335405556615
oct64141514070
920064883513
107004919864
112a75104a78
121435b250a0
138783393c7
144a647b50c
152aee8bc29
hex1a1869838

7004919864 has 64 divisors (see below), whose sum is σ = 17987235840. Its totient is φ = 2271952640.

The previous prime is 7004919839. The next prime is 7004919877. The reversal of 7004919864 is 4689194007.

It is a super-3 number, since 3×70049198643 (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 367579 + ... + 386165.

It is an arithmetic number, because the mean of its divisors is an integer number (281050560).

Almost surely, 27004919864 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 7004919864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993617920).

7004919864 is an abundant number, since it is smaller than the sum of its proper divisors (10982315976).

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

7004919864 is a wasteful number, since it uses less digits than its factorization.

7004919864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19020 (or 19016 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7004919864 is about 83695.3993000810. The cubic root of 7004919864 is about 1913.3792378788.

The spelling of 7004919864 in words is "seven billion, four million, nine hundred nineteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 383 492 766 984 1149 1532 2298 3064 4596 9192 15703 18587 31406 37174 47109 55761 62812 74348 94218 111522 125624 148696 188436 223044 376872 446088 762067 1524134 2286201 3048268 4572402 6096536 7118821 9144804 14237642 18289608 21356463 28475284 42712926 56950568 85425852 170851704 291871661 583743322 875614983 1167486644 1751229966 2334973288 3502459932 7004919864