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6413443146 = 23211174718541
BaseRepresentation
bin1011111100100010…
…10110000001001010
3121112222000200001100
411332101112001022
5101113320140041
62540222202230
7314634236655
oct57621260112
917488020040
106413443146
1127a1248840
1212aba23376
137b2936196
1444bab289c
152780a46b6
hex17e45604a

6413443146 has 48 divisors (see below), whose sum is σ = 15168542688. Its totient is φ = 1942250400.

The previous prime is 6413443129. The next prime is 6413443159.

6413443146 is a `hidden beast` number, since 64 + 13 + 443 + 146 = 666.

6413443146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64134431462 = 82264505973948754632, 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 6413443146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336636 + ... + 355176.

It is an arithmetic number, because the mean of its divisors is an integer number (316011306).

Almost surely, 26413443146 is an apocalyptic number.

6413443146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6413443146 is an abundant number, since it is smaller than the sum of its proper divisors (8755099542).

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

6413443146 is a wasteful number, since it uses less digits than its factorization.

6413443146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20304 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6413443146 is about 80083.9755881287. The cubic root of 6413443146 is about 1857.9345734193.

The spelling of 6413443146 in words is "six billion, four hundred thirteen million, four hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1747 3494 5241 10482 15723 18541 19217 31446 37082 38434 55623 57651 111246 115302 166869 172953 203951 333738 345906 407902 611853 1223706 1835559 3671118 32391127 64782254 97173381 194346762 291520143 356302397 583040286 712604794 1068907191 2137814382 3206721573 6413443146