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14565565388196 = 2234149214232
BaseRepresentation
bin1101001111110100111101…
…0110011101010110100100
31220120110021021222111010000
43103331033112131112210
53402120234214410241
650551154532101300
73032220201004254
oct323751726352644
956513237874100
1014565565388196
114706248a35719
121772aa2464830
138186b08581c4
14384d9733d964
151a3d3cb6ceb6
hexd3f4f59d5a4

14565565388196 has 135 divisors (see below), whose sum is σ = 38361490469841. Its totient is φ = 4819214265696.

The previous prime is 14565565388173. The next prime is 14565565388219. The reversal of 14565565388196 is 69188356556541.

The square root of 14565565388196 is 3816486.

It is a perfect power (a square), and thus also a powerful number.

14565565388196 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 5 + 5 + 6 + 538 + 81 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14565565388173) and next prime (14565565388219).

It can be written as a sum of positive squares in only one way, i.e., 1706456266596 + 12859109121600 = 1306314^2 + 3585960^2 .

It is a super-2 number, since 2×145655653881962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10235814741 + ... + 10235816163.

Almost surely, 214565565388196 is an apocalyptic number.

14565565388196 is the 3816486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14565565388196

14565565388196 is an abundant number, since it is smaller than the sum of its proper divisors (23795925081645).

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

14565565388196 is an frugal number, since it uses more digits than its factorization.

14565565388196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 1577 counting only the distinct ones).

The product of its digits is 933120000, while the sum is 72.

The spelling of 14565565388196 in words is "fourteen trillion, five hundred sixty-five billion, five hundred sixty-five million, three hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1423 1788 2682 2846 4023 4269 5364 5692 8046 8538 12069 12807 16092 17076 22201 24138 25614 38421 44402 48276 51228 66603 76842 88804 115263 133206 153684 199809 212027 230526 266412 399618 424054 461052 599427 636081 799236 848108 1198854 1272162 1798281 1908243 2024929 2397708 2544324 3596562 3816486 4049858 5724729 6074787 7193124 7632972 8099716 11449458 12149574 17174187 18224361 22898916 24299148 31592023 34348374 36448722 54673083 63184046 68696748 72897444 94776069 109346166 126368092 164019249 189552138 218692332 284328207 301714421 328038498 379104276 568656414 603428842 656076996 852984621 905143263 1137312828 1206857684 1705969242 1810286526 2558953863 2715429789 3411938484 3620573052 5117907726 5430859578 8146289367 10235815452 10861719156 16292578734 24438868101 32585157468 44955448729 48877736202 89910897458 97755472404 134866346187 179821794916 269732692374 404599038561 539465384748 809198077122 1213797115683 1618396154244 2427594231366 3641391347049 4855188462732 7282782694098 14565565388196