Search a number
-
+
3870625668 = 2237134917219
BaseRepresentation
bin1110011010110101…
…0000111110000100
3100222202021011020020
43212231100332010
530411340010133
61440024535140
7164626526640
oct34655207604
910882234206
103870625668
11170695a398
129003214b0
13498b94960
1428a0b7c20
15179c1c0b3
hexe6b50f84

3870625668 has 96 divisors (see below), whose sum is σ = 11139824640. Its totient is φ = 1018604160.

The previous prime is 3870625663. The next prime is 3870625697. The reversal of 3870625668 is 8665260783.

3870625668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3870625668.

It is not an unprimeable number, because it can be changed into a prime (3870625663) 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, 532563 + ... + 539781.

It is an arithmetic number, because the mean of its divisors is an integer number (116039840).

Almost surely, 23870625668 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 3870625668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569912320).

3870625668 is an abundant number, since it is smaller than the sum of its proper divisors (7269198972).

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

3870625668 is a wasteful number, since it uses less digits than its factorization.

3870625668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 3870625668 is about 62214.3525884502. The cubic root of 3870625668 is about 1570.0990738999.

The spelling of 3870625668 in words is "three billion, eight hundred seventy million, six hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 491 546 982 1092 1473 1964 2946 3437 5892 6383 6874 7219 10311 12766 13748 14438 19149 20622 21657 25532 28876 38298 41244 43314 44681 50533 76596 86628 89362 93847 101066 134043 151599 178724 187694 202132 268086 281541 303198 375388 536172 563082 606396 656929 1126164 1313858 1970787 2627716 3544529 3941574 7089058 7883148 10633587 14178116 21267174 24811703 42534348 46078877 49623406 74435109 92157754 99246812 138236631 148870218 184315508 276473262 297740436 322552139 552946524 645104278 967656417 1290208556 1935312834 3870625668