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130582249474679 = 61127143311762629
BaseRepresentation
bin11101101100001110001100…
…100110000000101001110111
3122010100112121111010020011022
4131230032030212000221313
5114103424421331142204
61141420353544531355
736335153605451012
oct3554161446005167
9563315544106138
10130582249474679
1138675691613392
121278b86b180b5b
1357b2b1289c672
142436300bd6379
151016b25ddb5be
hex76c38c980a77

130582249474679 has 16 divisors (see below), whose sum is σ = 133861364229120. Its totient is φ = 127341269717760.

The previous prime is 130582249474609. The next prime is 130582249474709. The reversal of 130582249474679 is 976474942285031.

It is a cyclic number.

It is not a de Polignac number, because 130582249474679 - 232 = 130577954507383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130582249474609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5220137 + ... + 16982765.

It is an arithmetic number, because the mean of its divisors is an integer number (8366335264320).

It is a 1-persistent number, because it is pandigital, but 2⋅130582249474679 = 261164498949358 is not.

Almost surely, 2130582249474679 is an apocalyptic number.

130582249474679 is a deficient number, since it is larger than the sum of its proper divisors (3279114754441).

130582249474679 is a wasteful number, since it uses less digits than its factorization.

130582249474679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764250.

The product of its (nonzero) digits is 731566080, while the sum is 71.

The spelling of 130582249474679 in words is "one hundred thirty trillion, five hundred eighty-two billion, two hundred forty-nine million, four hundred seventy-four thousand, six hundred seventy-nine".

Divisors: 1 61 127 1433 7747 87413 181991 11101451 11762629 717520369 1493853883 16855847357 91125086863 1028206688777 2140692614339 130582249474679