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87322712418 = 2367121092
BaseRepresentation
bin101000101010011010…
…1101101100101100010
322100101200002102000000
41101110311231211202
52412314103244133
6104040540440430
76210636544254
oct1212465554542
9270350072000
1087322712418
1134040438327
1214b10249116
13830825b746
1443254dbcd4
1524112d1413
hex1454d6d962

87322712418 has 126 divisors (see below), whose sum is σ = 201035434257. Its totient is φ = 28434324240.

The previous prime is 87322712413. The next prime is 87322712443. The reversal of 87322712418 is 81421722378.

87322712418 is a `hidden beast` number, since 8 + 7 + 3 + 227 + 1 + 2 + 418 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83791144089 + 3531568329 = 289467^2 + 59427^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=208953.

It is a super-2 number, since 2×873227124182 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87322712413) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 801125748 + ... + 801125856.

Almost surely, 287322712418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87322712418

87322712418 is an abundant number, since it is smaller than the sum of its proper divisors (113712721839).

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

87322712418 is an frugal number, since it uses more digits than its factorization.

87322712418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 87322712418 in words is "eighty-seven billion, three hundred twenty-two million, seven hundred twelve thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 71 81 109 142 162 213 218 243 327 426 486 639 654 729 981 1278 1458 1917 1962 2943 3834 5041 5751 5886 7739 8829 10082 11502 11881 15123 15478 17253 17658 23217 23762 26487 30246 34506 35643 45369 46434 51759 52974 69651 71286 79461 90738 103518 106929 136107 139302 158922 208953 213858 272214 320787 408321 417906 549469 626859 641574 816642 843551 962361 1098938 1224963 1253718 1648407 1687102 1880577 1924722 2449926 2530653 2887083 3296814 3674889 3761154 4945221 5061306 5641731 5774166 7349778 7591959 8661249 9890442 11283462 14835663 15183918 17322498 22775877 29671326 44506989 45551754 59892121 68327631 89013978 119784242 133520967 136655262 179676363 204982893 267041934 359352726 400562901 409965786 539029089 614948679 801125802 1078058178 1229897358 1617087267 3234174534 4851261801 9702523602 14553785403 29107570806 43661356209 87322712418