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4643773464 = 23311311075303
BaseRepresentation
bin1000101001100101…
…00101110000011000
3102222122002010121210
410110302211300120
534002301222324
62044444103120
7223035265101
oct42462456030
912878063553
104643773464
111a7331a810
12a97234aa0
13590105565
14320a533a8
151c2a3cd29
hex114ca5c18

4643773464 has 128 divisors (see below), whose sum is σ = 13198049280. Its totient is φ = 1348828800.

The previous prime is 4643773411. The next prime is 4643773483.

4643773464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 873037 + ... + 878339.

It is an arithmetic number, because the mean of its divisors is an integer number (103109760).

Almost surely, 24643773464 is an apocalyptic number.

4643773464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4643773464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599024640).

4643773464 is an abundant number, since it is smaller than the sum of its proper divisors (8554275816).

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

4643773464 is a wasteful number, since it uses less digits than its factorization.

4643773464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5457 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The square root of 4643773464 is about 68145.2380141122. The cubic root of 4643773464 is about 1668.3622013036.

The spelling of 4643773464 in words is "four billion, six hundred forty-three million, seven hundred seventy-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 107 124 132 186 214 248 264 321 341 372 428 642 682 744 856 1023 1177 1284 1364 2046 2354 2568 2728 3317 3531 4092 4708 5303 6634 7062 8184 9416 9951 10606 13268 14124 15909 19902 21212 26536 28248 31818 36487 39804 42424 58333 63636 72974 79608 109461 116666 127272 145948 164393 174999 218922 233332 291896 328786 349998 437844 466664 493179 567421 657572 699996 875688 986358 1134842 1315144 1399992 1702263 1808323 1972716 2269684 3404526 3616646 3945432 4539368 5424969 6241631 6809052 7233292 10849938 12483262 13618104 14466584 17590051 18724893 21699876 24966524 35180102 37449786 43399752 49933048 52770153 70360204 74899572 105540306 140720408 149799144 193490561 211080612 386981122 422161224 580471683 773962244 1160943366 1547924488 2321886732 4643773464