Search a number
-
+
3522363421745 = 578313128132939
BaseRepresentation
bin110011010000011101001…
…110000111010000110001
3110110201211120012112002002
4303100131032013100301
5430202300013443440
611254052412303345
7512324310036650
oct63203516072061
913421746175062
103522363421745
11113890a361a03
1248a7a8471b55
131c7207ba4cbc
14c26aa25d197
1561958841115
hex3341d387431

3522363421745 has 64 divisors (see below), whose sum is σ = 4943871313920. Its totient is φ = 2359520217600.

The previous prime is 3522363421727. The next prime is 3522363421757. The reversal of 3522363421745 is 5471243632253.

It is not a de Polignac number, because 3522363421745 - 216 = 3522363356209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3522363421745.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 106919486 + ... + 106952424.

It is an arithmetic number, because the mean of its divisors is an integer number (77247989280).

Almost surely, 23522363421745 is an apocalyptic number.

3522363421745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3522363421745 is a deficient number, since it is larger than the sum of its proper divisors (1421507892175).

3522363421745 is a wasteful number, since it uses less digits than its factorization.

3522363421745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33446.

The product of its digits is 3628800, while the sum is 47.

The spelling of 3522363421745 in words is "three trillion, five hundred twenty-two billion, three hundred sixty-three million, four hundred twenty-one thousand, seven hundred forty-five".

Divisors: 1 5 7 35 83 131 281 415 581 655 917 1405 1967 2905 4585 9835 10873 23323 32939 36811 54365 76111 116615 163261 164695 184055 230573 257677 380555 816305 1152865 1288385 2733937 3055313 4315009 9255859 13669685 15276565 19137559 21387191 21575045 30205063 46279295 64791013 95687795 106935955 151025315 323955065 358145747 768236297 1212517529 1790728735 2507020229 3841181485 5377654079 6062587645 8487622703 12535101145 26888270395 42438113515 100638954907 503194774535 704472684349 3522363421745