Search a number
-
+
64441414446 = 23177335324517
BaseRepresentation
bin111100000001000000…
…011111001100101110
320011100000220000222120
4330001000133030232
52023434000230241
645334243053410
74440626661603
oct740100371456
9204300800876
1064441414446
1125369553512
12105a5371266
1360cc960786
1431946ac6aa
151a2261c666
hexf0101f32e

64441414446 has 64 divisors (see below), whose sum is σ = 138731082048. Its totient is φ = 19882672128.

The previous prime is 64441414409. The next prime is 64441414447.

64441414446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×644414144462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64441414398 and 64441414407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64441414447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2616180 + ... + 2640696.

It is an arithmetic number, because the mean of its divisors is an integer number (2167673157).

Almost surely, 264441414446 is an apocalyptic number.

64441414446 is an abundant number, since it is smaller than the sum of its proper divisors (74289667602).

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

64441414446 is a wasteful number, since it uses less digits than its factorization.

64441414446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24965.

The product of its digits is 589824, while the sum is 42.

The spelling of 64441414446 in words is "sixty-four billion, four hundred forty-one million, four hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 17 34 51 73 102 146 219 353 438 706 1059 1241 2118 2482 3723 6001 7446 12002 18003 24517 25769 36006 49034 51538 73551 77307 147102 154614 416789 438073 833578 876146 1250367 1314219 1789741 2500734 2628438 3579482 5369223 8654501 10738446 17309002 25963503 30425597 51927006 60851194 91276791 147126517 182553582 294253034 441379551 631778573 882759102 1263557146 1895335719 3790671438 10740235741 21480471482 32220707223 64441414446