Search a number
-
+
6440133312 = 26333726929
BaseRepresentation
bin1011111111101110…
…01010001011000000
3121121211020200002000
411333313022023000
5101142133231222
62543014224000
7315410141604
oct57767121300
917554220060
106440133312
112805318528
1212b8955000
137b831c792
1445145d504
1527a5c79ac
hex17fdca2c0

6440133312 has 56 divisors (see below), whose sum is σ = 18932804400. Its totient is φ = 2146710528.

The previous prime is 6440133283. The next prime is 6440133317. The reversal of 6440133312 is 2133310446.

6440133312 is a `hidden beast` number, since 644 + 0 + 1 + 3 + 3 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6440133317) 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, 1861737 + ... + 1865192.

Almost surely, 26440133312 is an apocalyptic number.

It is an amenable number.

6440133312 is an abundant number, since it is smaller than the sum of its proper divisors (12492671088).

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

6440133312 is a wasteful number, since it uses less digits than its factorization.

6440133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726950 (or 3726934 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6440133312 is about 80250.4411950489. The cubic root of 6440133312 is about 1860.5083314056.

Adding to 6440133312 its reverse (2133310446), we get a palindrome (8573443758).

The spelling of 6440133312 in words is "six billion, four hundred forty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3726929 7453858 11180787 14907716 22361574 29815432 33542361 44723148 59630864 67084722 89446296 100627083 119261728 134169444 178892592 201254166 238523456 268338888 357785184 402508332 536677776 715570368 805016664 1073355552 1610033328 2146711104 3220066656 6440133312