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580010600021 = 2129638942641
BaseRepresentation
bin10000111000010110101…
…00110110011001010101
32001110002221021022201212
420130023110312121111
534000330203200041
61122241520031205
756622126516656
oct10341324663125
92043087238655
10580010600021
11203a87954526
12944b0462505
1342905524598
142010355b52d
1510149ee78eb
hex870b536655

580010600021 has 8 divisors (see below), whose sum is σ = 580387469400. Its totient is φ = 579633832960.

The previous prime is 580010600011. The next prime is 580010600063. The reversal of 580010600021 is 120006010085.

It can be written as a sum of positive squares in 4 ways, for example, as 525784900 + 579484815121 = 22930^2 + 761239^2 .

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 580010600021 - 218 = 580010337877 is a prime.

It is a super-2 number, since 2×5800106000212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 580010600021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580010600011) 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, 13580861 + ... + 13623501.

It is an arithmetic number, because the mean of its divisors is an integer number (72548433675).

Almost surely, 2580010600021 is an apocalyptic number.

It is an amenable number.

580010600021 is a deficient number, since it is larger than the sum of its proper divisors (376869379).

580010600021 is a wasteful number, since it uses less digits than its factorization.

580010600021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51159.

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 580010600021 in words is "five hundred eighty billion, ten million, six hundred thousand, twenty-one".

Divisors: 1 2129 6389 42641 13602181 90782689 272433349 580010600021