Search a number
-
+
643416316205 = 51393710564261
BaseRepresentation
bin10010101110011101001…
…10011101100100101101
32021111202210022102210112
421113032212131210231
541020204034104310
61211325324345405
764325312310245
oct11271646354455
92244683272715
10643416316205
11228964811563
12a48469a5265
134889b729340
14231da468b25
1511b0b731705
hex95ce99d92d

643416316205 has 16 divisors (see below), whose sum is σ = 832379331504. Its totient is φ = 474631073280.

The previous prime is 643416316201. The next prime is 643416316211. The reversal of 643416316205 is 502613614346.

It can be written as a sum of positive squares in 8 ways, for example, as 175928235844 + 467488080361 = 419438^2 + 683731^2 .

It is not a de Polignac number, because 643416316205 - 22 = 643416316201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643416316201) 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, 5221226 + ... + 5343035.

It is an arithmetic number, because the mean of its divisors is an integer number (52023708219).

Almost surely, 2643416316205 is an apocalyptic number.

643416316205 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

643416316205 is a deficient number, since it is larger than the sum of its proper divisors (188963015299).

643416316205 is a wasteful number, since it uses less digits than its factorization.

643416316205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565216.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 643416316205 in words is "six hundred forty-three billion, four hundred sixteen million, three hundred sixteen thousand, two hundred five".

Divisors: 1 5 13 65 937 4685 12181 60905 10564261 52821305 137335393 686676965 9898712557 49493562785 128683263241 643416316205