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130564810405 = 5171536056593
BaseRepresentation
bin111100110011001000…
…1001110011010100101
3110111000021201120211201
41321212101032122211
54114344042413110
6135551453002501
712301342401631
oct1714621163245
9414007646751
10130564810405
1150410482597
1221379a83431
13c409bcc283
1464684d1dc1
1535e272eb3a
hex1e6644e6a5

130564810405 has 8 divisors (see below), whose sum is σ = 165894112152. Its totient is φ = 98307621888.

The previous prime is 130564810403. The next prime is 130564810421. The reversal of 130564810405 is 504018465031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15214235716 + 115350574689 = 123346^2 + 339633^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130564810405 - 21 = 130564810403 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 (130564810403) 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 7 ways as a sum of consecutive naturals, for example, 768028212 + ... + 768028381.

It is an arithmetic number, because the mean of its divisors is an integer number (20736764019).

Almost surely, 2130564810405 is an apocalyptic number.

It is an amenable number.

130564810405 is a deficient number, since it is larger than the sum of its proper divisors (35329301747).

130564810405 is a wasteful number, since it uses less digits than its factorization.

130564810405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536056615.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 130564810405 in words is "one hundred thirty billion, five hundred sixty-four million, eight hundred ten thousand, four hundred five".

Divisors: 1 5 17 85 1536056593 7680282965 26112962081 130564810405