Search a number
-
+
2065538688 = 27329185483
BaseRepresentation
bin111101100011101…
…1001111010000000
312022221200020101220
41323013121322000
513212234214223
6540543355040
7102120534453
oct17307317200
95287606356
102065538688
1196aa40874
124978b2a80
1326bc13355
1415847949a
15c150b6e3
hex7b1d9e80

2065538688 has 64 divisors (see below), whose sum is σ = 5675810400. Its totient is φ = 664767488.

The previous prime is 2065538687. The next prime is 2065538693. The reversal of 2065538688 is 8868355602.

2065538688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20655386882 = 8532900143249522688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2065538688.

It is not an unprimeable number, because it can be changed into a prime (2065538687) 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, 81606 + ... + 103877.

Almost surely, 22065538688 is an apocalyptic number.

It is an amenable number.

2065538688 is an abundant number, since it is smaller than the sum of its proper divisors (3610271712).

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

2065538688 is a wasteful number, since it uses less digits than its factorization.

2065538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185529 (or 185517 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2065538688 is about 45448.1978520601. The cubic root of 2065538688 is about 1273.5356635683.

The spelling of 2065538688 in words is "two billion, sixty-five million, five hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 185483 370966 556449 741932 1112898 1483864 2225796 2967728 4451592 5379007 5935456 8903184 10758014 11870912 16137021 17806368 21516028 23741824 32274042 35612736 43032056 64548084 71225472 86064112 129096168 172128224 258192336 344256448 516384672 688512896 1032769344 2065538688