Search a number
-
+
28607570680 = 23513293187763
BaseRepresentation
bin11010101001001001…
…001110001011111000
32201211201012011102211
4122221021032023320
5432042014230210
621050411304504
72031631224103
oct325111161370
981751164384
1028607570680
11111502562a7
12566474b134
13290ba67520
14155554773a
15b2677c38a
hex6a924e2f8

28607570680 has 64 divisors (see below), whose sum is σ = 69555296160. Its totient is φ = 10526688768.

The previous prime is 28607570669. The next prime is 28607570681. The reversal of 28607570680 is 8607570682.

It is a super-2 number, since 2×286075706802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28607570681) 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 15 ways as a sum of consecutive naturals, for example, 58479 + ... + 246241.

Almost surely, 228607570680 is an apocalyptic number.

28607570680 is a gapful number since it is divisible by the number (20) 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 28607570680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777648080).

28607570680 is an abundant number, since it is smaller than the sum of its proper divisors (40947725480).

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

28607570680 is a wasteful number, since it uses less digits than its factorization.

28607570680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188080 (or 188076 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 28607570680 in words is "twenty-eight billion, six hundred seven million, five hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 520 586 1172 1465 2344 2930 3809 5860 7618 11720 15236 19045 30472 38090 76180 152360 187763 375526 751052 938815 1502104 1877630 2440919 3755260 4881838 7510520 9763676 12204595 19527352 24409190 48818380 55014559 97636760 110029118 220058236 275072795 440116472 550145590 715189267 1100291180 1430378534 2200582360 2860757068 3575946335 5721514136 7151892670 14303785340 28607570680