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87513381522 = 2327414232
BaseRepresentation
bin101000110000000110…
…1000011101010010010
322100212221212101211200
41101200031003222102
52413211411202042
6104111511252030
76215443320000
oct1214015035222
9270787771750
1087513381522
11341290278a6
1214b6407a016
1383388c98b8
144342971a70
152422de5c4c
hex1460343a92

87513381522 has 90 divisors (see below), whose sum is σ = 221356775367. Its totient is φ = 24986252088.

The previous prime is 87513381521. The next prime is 87513381523. The reversal of 87513381522 is 22518331578.

87513381522 is a `hidden beast` number, since 8 + 7 + 513 + 3 + 81 + 52 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87513381521) and next prime (87513381523).

It can be written as a sum of positive squares in only one way, i.e., 43756690761 + 43756690761 = 209181^2 + 209181^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=209181.

It is not an unprimeable number, because it can be changed into a prime (87513381521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61498503 + ... + 61499925.

Almost surely, 287513381522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87513381522

87513381522 is an abundant number, since it is smaller than the sum of its proper divisors (133843393845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87513381522 is an frugal number, since it uses more digits than its factorization.

87513381522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 1435 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 87513381522 in words is "eighty-seven billion, five hundred thirteen million, three hundred eighty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1423 2058 2401 2846 3087 4269 4802 6174 7203 8538 9961 12807 14406 19922 21609 25614 29883 43218 59766 69727 89649 139454 179298 209181 418362 488089 627543 976178 1255086 1464267 2024929 2928534 3416623 4049858 4392801 6074787 6833246 8785602 10249869 12149574 14174503 18224361 20499738 28349006 30749607 36448722 42523509 61499214 85047018 99221521 127570527 198443042 255141054 297664563 595329126 694550647 892993689 1389101294 1785987378 2083651941 4167303882 4861854529 6250955823 9723709058 12501911646 14585563587 29171127174 43756690761 87513381522