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4382746760868 = 2237433733253043
BaseRepresentation
bin111111110001110000000…
…100000101011010100100
3120111222122011020201020020
4333301300010011122210
51033301331132321433
613153223413235140
7631433356540320
oct77616004053244
916458564221206
104382746760868
11143a79231a053
125a94a5032ab0
1325a3a2b38828
141121a9d42980
1579012d57cb3
hex3fc701056a4

4382746760868 has 96 divisors (see below), whose sum is σ = 11991188622336. Its totient is φ = 1219812676992.

The previous prime is 4382746760863. The next prime is 4382746760891. The reversal of 4382746760868 is 8680676472834.

It is a super-2 number, since 2×43827467608682 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4382746760863) 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 31 ways as a sum of consecutive naturals, for example, 279246 + ... + 2973797.

It is an arithmetic number, because the mean of its divisors is an integer number (124908214816).

Almost surely, 24382746760868 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 4382746760868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995594311168).

4382746760868 is an abundant number, since it is smaller than the sum of its proper divisors (7608441861468).

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

4382746760868 is a wasteful number, since it uses less digits than its factorization.

4382746760868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253473 (or 3253471 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 69.

The spelling of 4382746760868 in words is "four trillion, three hundred eighty-two billion, seven hundred forty-six million, seven hundred sixty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 373 516 602 746 903 1119 1204 1492 1806 2238 2611 3612 4476 5222 7833 10444 15666 16039 31332 32078 48117 64156 96234 112273 192468 224546 336819 449092 673638 1347276 3253043 6506086 9759129 13012172 19518258 22771301 39036516 45542602 68313903 91085204 136627806 139880849 273255612 279761698 419642547 559523396 839285094 979165943 1213385039 1678570188 1958331886 2426770078 2937497829 3640155117 3916663772 4853540156 5874995658 7280310234 8493695273 11749991316 14560620468 16987390546 25481085819 33974781092 50962171638 52175556677 101924343276 104351113354 156526670031 208702226708 313053340062 365228896739 626106680124 730457793478 1095686690217 1460915586956 2191373380434 4382746760868