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5640020200465 = 571728152164747
BaseRepresentation
bin101001000010010101101…
…1001101000110000010001
3201222011212201001000020021
41102010223121220300101
51214401230132403330
615554553422343441
71121322646463350
oct122045331506021
921864781030207
105640020200465
111884a12405aa2
127710a742ab81
1331bb0c027761
14156d9ab75997
159ba9ac1667a
hex5212b668c11

5640020200465 has 64 divisors (see below), whose sum is σ = 8234926207488. Its totient is φ = 3619974758400.

The previous prime is 5640020200429. The next prime is 5640020200537.

5640020200465 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-5640020200465 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5640020200465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87076222 + ... + 87140968.

It is an arithmetic number, because the mean of its divisors is an integer number (128670721992).

Almost surely, 25640020200465 is an apocalyptic number.

It is an amenable number.

5640020200465 is a deficient number, since it is larger than the sum of its proper divisors (2594906007023).

5640020200465 is a wasteful number, since it uses less digits than its factorization.

5640020200465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65578.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 5640020 and 200465, that added together give a palindrome (5840485).

The spelling of 5640020200465 in words is "five trillion, six hundred forty billion, twenty million, two hundred thousand, four hundred sixty-five".

Divisors: 1 5 7 17 35 85 119 281 521 595 1405 1967 2605 3647 4777 8857 9835 18235 23885 33439 44285 61999 64747 146401 167195 309995 323735 453229 732005 1024807 1100699 2266145 2488817 5124035 5503495 7704893 12444085 17421719 18193907 33733187 38524465 87108595 90969535 127357349 168665935 236132309 309296419 573464179 636786745 1180661545 1546482095 2165074933 2867320895 4014249253 9479025547 10825374665 20071246265 47395127735 66353178829 161143434299 331765894145 805717171495 1128004040093 5640020200465