Search a number
-
+
20564613280 = 255641200513
BaseRepresentation
bin10011001001101111…
…110001100010100000
31222002011221121001201
4103021233301202200
5314104020111110
613240335010544
71325416220521
oct231157614240
958064847051
1020564613280
1187a3208372
123b9b069a54
131c29663733
14dd129a848
158055e8b3a
hex4c9bf18a0

20564613280 has 48 divisors (see below), whose sum is σ = 48659935464. Its totient is φ = 8212971520.

The previous prime is 20564613257. The next prime is 20564613287. The reversal of 20564613280 is 8231646502.

It can be written as a sum of positive squares in 4 ways, for example, as 17713480464 + 2851132816 = 133092^2 + 53396^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20564613287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2304 + ... + 202816.

Almost surely, 220564613280 is an apocalyptic number.

20564613280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20564613280 is an abundant number, since it is smaller than the sum of its proper divisors (28095322184).

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

20564613280 is a wasteful number, since it uses less digits than its factorization.

20564613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201169 (or 201161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 20564613280 in words is "twenty billion, five hundred sixty-four million, six hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 641 1282 2564 3205 5128 6410 10256 12820 20512 25640 51280 102560 200513 401026 802052 1002565 1604104 2005130 3208208 4010260 6416416 8020520 16041040 32082080 128528833 257057666 514115332 642644165 1028230664 1285288330 2056461328 2570576660 4112922656 5141153320 10282306640 20564613280