Search a number
-
+
6412122212146 = 271759456638813
BaseRepresentation
bin101110101001111000001…
…0001000100011100110010
3211200222210211012002210021
41131103300101010130302
51320024011241242041
621345404400154054
71231155236342440
oct135236021043462
924628724162707
106412122212146
1120524029091a2
1287686690892a
13376878252721
141824c3d03b90
15b1bd9be2cd1
hex5d4f0444732

6412122212146 has 32 divisors (see below), whose sum is σ = 11836078058880. Its totient is φ = 2542564905216.

The previous prime is 6412122212137. The next prime is 6412122212147.

6412122212146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64121222121462 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (6412122212147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228305365 + ... + 228333448.

It is an arithmetic number, because the mean of its divisors is an integer number (369877439340).

Almost surely, 26412122212146 is an apocalyptic number.

6412122212146 is a deficient number, since it is larger than the sum of its proper divisors (5423955846734).

6412122212146 is a wasteful number, since it uses less digits than its factorization.

6412122212146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456638898.

The product of its digits is 18432, while the sum is 34.

The spelling of 6412122212146 in words is "six trillion, four hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 7 14 17 34 59 118 119 238 413 826 1003 2006 7021 14042 456638813 913277626 3196471691 6392943382 7762859821 15525719642 26941689967 53883379934 54340018747 108680037494 188591829769 377183659538 458008729439 916017458878 3206061106073 6412122212146