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2580423130575 = 3252233116084919
BaseRepresentation
bin100101100011001101001…
…101000011110111001111
3100010200112010100220020100
4211203031031003313033
5314234201310134300
65253232515022143
7354300201466023
oct45431515036717
910120463326210
102580423130575
11905395649654
1235812a59a953
13159443396874
148cc70b14383
15471c9311700
hex258cd343dcf

2580423130575 has 72 divisors (see below), whose sum is σ = 4978347079680. Its totient is φ = 1273925505600.

The previous prime is 2580423130573. The next prime is 2580423130601. The reversal of 2580423130575 is 5750313240852.

2580423130575 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 42 + 3 + 1 + 30 + 575 = 666.

It is not a de Polignac number, because 2580423130575 - 21 = 2580423130573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2580423130575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580423130573) 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 71 ways as a sum of consecutive naturals, for example, 7882035 + ... + 8202884.

It is an arithmetic number, because the mean of its divisors is an integer number (69143709440).

Almost surely, 22580423130575 is an apocalyptic number.

2580423130575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2580423130575 is a deficient number, since it is larger than the sum of its proper divisors (2397923949105).

2580423130575 is a wasteful number, since it uses less digits than its factorization.

2580423130575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16084989 (or 16084981 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2580423130575 in words is "two trillion, five hundred eighty billion, four hundred twenty-three million, one hundred thirty thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 31 45 69 75 93 115 155 207 225 279 345 465 575 713 775 1035 1395 1725 2139 2325 3565 5175 6417 6975 10695 17825 32085 53475 160425 16084919 48254757 80424595 144764271 241273785 369953137 402122975 498632489 723821355 1109859411 1206368925 1495897467 1849765685 2493162445 3329578233 3619106775 4487692401 5549297055 7479487335 9248828425 11468547247 12465812225 16647891165 22438462005 27746485275 34405641741 37397436675 57342736235 83239455825 103216925223 112192310025 172028208705 286713681175 516084626115 860141043525 2580423130575