Search a number
-
+
7064873214 = 237313924697
BaseRepresentation
bin1101001010001100…
…10110100011111110
3200020100210202002220
412211012112203332
5103432101420324
63125012430210
7340034301000
oct64506264376
920210722086
107064873214
112aa5a338a3
121452018366
1388789b069
144b0406370
152b5380b79
hex1a51968fe

7064873214 has 64 divisors (see below), whose sum is σ = 16597056000. Its totient is φ = 2003932224.

The previous prime is 7064873213. The next prime is 7064873219. The reversal of 7064873214 is 4123784607.

7064873214 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7064873213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273714 + ... + 298410.

It is an arithmetic number, because the mean of its divisors is an integer number (259329000).

Almost surely, 27064873214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7064873214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298528000).

7064873214 is an abundant number, since it is smaller than the sum of its proper divisors (9532182786).

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

7064873214 is a wasteful number, since it uses less digits than its factorization.

7064873214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24862 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7064873214 is about 84052.8001556165. The cubic root of 7064873214 is about 1918.8224490619.

The spelling of 7064873214 in words is "seven billion, sixty-four million, eight hundred seventy-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 343 417 686 834 973 1029 1946 2058 2919 5838 6811 13622 20433 24697 40866 47677 49394 74091 95354 143031 148182 172879 286062 345758 518637 1037274 1210153 2420306 3432883 3630459 6865766 7260918 8471071 10298649 16942142 20597298 24030181 25413213 48060362 50826426 72090543 144181086 168211267 336422534 504633801 1009267602 1177478869 2354957738 3532436607 7064873214