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86662528225 = 52721326472
BaseRepresentation
bin101000010110101111…
…1010011110011100001
322021200122211120112121
41100231133103303201
52404441101400400
6103451234424241
76155402223100
oct1205537236341
9267618746477
1086662528225
1133831813159
1214967132081
138231550100
1442a196a037
1523c337621a
hex142d7d3ce1

86662528225 has 81 divisors (see below), whose sum is σ = 135571362777. Its totient is φ = 54769740480.

The previous prime is 86662528171. The next prime is 86662528229. The reversal of 86662528225 is 52282526668.

It is a happy number.

The square root of 86662528225 is 294385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22337394849 + 64325133376 = 149457^2 + 253624^2 .

It is not a de Polignac number, because 86662528225 - 211 = 86662526177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86662528229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133944852 + ... + 133945498.

Almost surely, 286662528225 is an apocalyptic number.

86662528225 is the 294385-th square number.

86662528225 is the 147193-rd centered octagonal number.

It is an amenable number.

86662528225 is a deficient number, since it is larger than the sum of its proper divisors (48908834552).

86662528225 is an equidigital number, since it uses as much as digits as its factorization.

86662528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 86662528225 in words is "eighty-six billion, six hundred sixty-two million, five hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 647 845 1183 1225 2275 3185 3235 4225 4529 5915 8281 8411 15925 16175 22645 29575 31703 41405 42055 58877 109343 113225 158515 207025 210275 294385 412139 418609 546715 765401 792575 1471925 2060695 2093045 2733575 2930263 3827005 5357807 5441917 10303475 10465225 14651315 19135025 20511841 26789035 27209585 38093419 70744921 73256575 102559205 133945175 136047925 190467095 266653933 353724605 495214447 512796025 952335475 1333269665 1768623025 2476072235 3466501129 6666348325 12380361175 17332505645 86662528225