Search a number
-
+
6448830147 = 34196173941
BaseRepresentation
bin1100000000110000…
…10101011011000011
3121122102121111220000
412000120111123003
5101201400031042
62543524451043
7315544103034
oct60030253303
917572544800
106448830147
11280a2185a1
1212bb849a83
137ba076136
14452684a8b
1527b24474c
hex1806156c3

6448830147 has 80 divisors (see below), whose sum is σ = 10458988320. Its totient is φ = 3947097600.

The previous prime is 6448830127. The next prime is 6448830203. The reversal of 6448830147 is 7410388446.

It is not a de Polignac number, because 6448830147 - 218 = 6448568003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6448830127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6852697 + ... + 6853637.

It is an arithmetic number, because the mean of its divisors is an integer number (130737354).

Almost surely, 26448830147 is an apocalyptic number.

6448830147 is a deficient number, since it is larger than the sum of its proper divisors (4010158173).

6448830147 is a wasteful number, since it uses less digits than its factorization.

6448830147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6448830147 is about 80304.6085041201. The cubic root of 6448830147 is about 1861.3454391271.

The spelling of 6448830147 in words is "six billion, four hundred forty-eight million, eight hundred thirty thousand, one hundred forty-seven".

Divisors: 1 3 9 19 27 57 61 73 81 171 183 219 513 549 657 941 1159 1387 1539 1647 1971 2823 3477 4161 4453 4941 5913 8469 10431 12483 13359 17879 25407 31293 37449 40077 53637 57401 68693 76221 84607 93879 112347 120231 160911 172203 206079 253821 360693 482733 516609 618237 761463 1090619 1305167 1448199 1549827 1854711 2284389 3271857 3915501 4190273 4649481 5564133 6853167 9815571 11746503 12570819 29446713 35239509 37712457 79615187 88340139 105718527 113137371 238845561 339412113 716536683 2149610049 6448830147