Search a number
-
+
6565361840 = 245199774421
BaseRepresentation
bin1100001110101001…
…10111100010110000
3121221112212221022122
412013110313202300
5101421213034330
63003250253412
7321460440422
oct60724674260
917845787278
106565361840
112869a80584
121332887268
138082574bb
14463d3a812
152865b25e5
hex1875378b0

6565361840 has 80 divisors (see below), whose sum is σ = 16087943520. Its totient is φ = 2484817920.

The previous prime is 6565361791. The next prime is 6565361843. The reversal of 6565361840 is 481635656.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6565361791 and 6565361800.

It is not an unprimeable number, because it can be changed into a prime (6565361843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482830 + ... + 1487250.

It is an arithmetic number, because the mean of its divisors is an integer number (201099294).

Almost surely, 26565361840 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 6565361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043971760).

6565361840 is an abundant number, since it is smaller than the sum of its proper divisors (9522581680).

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

6565361840 is a wasteful number, since it uses less digits than its factorization.

6565361840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 6565361840 is about 81026.9204647443. The cubic root of 6565361840 is about 1872.4902090572.

The spelling of 6565361840 in words is "six billion, five hundred sixty-five million, three hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 977 1520 1954 3908 4421 4885 7816 8842 9770 15632 17684 18563 19540 22105 35368 37126 39080 44210 70736 74252 78160 83999 88420 92815 148504 167998 176840 185630 297008 335996 353680 371260 419995 671992 742520 839990 1343984 1485040 1679980 3359960 4319317 6719920 8638634 17277268 21596585 34554536 43193170 69109072 82067023 86386340 164134046 172772680 328268092 345545360 410335115 656536184 820670230 1313072368 1641340460 3282680920 6565361840