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4243362564 = 2237271910037
BaseRepresentation
bin1111110011101100…
…1001001100000100
3101221201122011010110
43330323021030010
532142300100224
61541021553020
7210103662300
oct37473111404
911851564113
104243362564
1118882a4111
129a5115770
1352817bc2c
142c37c2d00
1519c7e7929
hexfcec9304

4243362564 has 72 divisors (see below), whose sum is σ = 11534866560. Its totient is φ = 1210582464.

The previous prime is 4243362517. The next prime is 4243362631. The reversal of 4243362564 is 4652633424.

4243362564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42433625642 = 36012251699113308192, which contains 22 as substring.

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, 417754 + ... + 427790.

It is an arithmetic number, because the mean of its divisors is an integer number (160206480).

Almost surely, 24243362564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243362564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767433280).

4243362564 is an abundant number, since it is smaller than the sum of its proper divisors (7291503996).

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

4243362564 is a wasteful number, since it uses less digits than its factorization.

4243362564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10768 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

The square root of 4243362564 is about 65141.0973502903. The cubic root of 4243362564 is about 1618.9622175144.

Adding to 4243362564 its reverse (4652633424), we get a palindrome (8895995988).

The spelling of 4243362564 in words is "four billion, two hundred forty-three million, three hundred sixty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 719 1438 2157 2876 4314 5033 8628 10037 10066 15099 20074 20132 30111 30198 35231 40148 60222 60396 70259 70462 105693 120444 140518 140924 210777 211386 281036 421554 422772 491813 843108 983626 1475439 1967252 2950878 5901756 7216603 14433206 21649809 28866412 43299618 50516221 86599236 101032442 151548663 202064884 303097326 353613547 606194652 707227094 1060840641 1414454188 2121681282 4243362564