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7024807473361 = 891289345717713
BaseRepresentation
bin110011000111001011100…
…1001110111000011010001
3220212120020220121012021221
41212032113021313003101
51410043301203121421
622535052455445041
71323345164211346
oct146162711670321
926776226535257
107024807473361
112269227756247
12955555986781
133bc589cc3352
141a4006bc47cd
15c2ae8541841
hex663972770d1

7024807473361 has 16 divisors (see below), whose sum is σ = 7111706893200. Its totient is φ = 6938089095168.

The previous prime is 7024807473259. The next prime is 7024807473403. The reversal of 7024807473361 is 1633747084207.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30395830336 + 6994411643025 = 174344^2 + 2644695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7024807473361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7024807473299 and 7024807473308.

It is not an unprimeable number, because it can be changed into a prime (7924807473361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396581641 + ... + 396599353.

It is an arithmetic number, because the mean of its divisors is an integer number (444481680825).

Almost surely, 27024807473361 is an apocalyptic number.

It is an amenable number.

7024807473361 is a deficient number, since it is larger than the sum of its proper divisors (86899419839).

7024807473361 is a wasteful number, since it uses less digits than its factorization.

7024807473361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22548.

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 7024807473361 in words is "seven trillion, twenty-four billion, eight hundred seven million, four hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 89 1289 3457 17713 114721 307673 1576457 4456073 22832057 61233841 396590497 2032053073 5449811849 78930421049 7024807473361