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364284163890 = 23358318189809
BaseRepresentation
bin1010100110100010000…
…01110011011100110010
31021211021120220220112000
411103101001303130302
521432023221221030
6435203321514430
735214205205643
oct5232101633462
91254246826460
10364284163890
11130545a06079
125a726042a16
13284760221ca
14138ba9996ca
1597210b8860
hex54d1073732

364284163890 has 128 divisors (see below), whose sum is σ = 988571001600. Its totient is φ = 95440757760.

The previous prime is 364284163853. The next prime is 364284163909. The reversal of 364284163890 is 98361482463.

364284163890 is a `hidden beast` number, since 36 + 428 + 41 + 63 + 8 + 90 = 666.

It is a super-2 number, since 2×3642841638902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011306 + ... + 4101114.

It is an arithmetic number, because the mean of its divisors is an integer number (7723210950).

Almost surely, 2364284163890 is an apocalyptic number.

364284163890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 364284163890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494285500800).

364284163890 is an abundant number, since it is smaller than the sum of its proper divisors (624286837710).

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

364284163890 is a wasteful number, since it uses less digits than its factorization.

364284163890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90089 (or 90083 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 364284163890 in words is "three hundred sixty-four billion, two hundred eighty-four million, one hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 181 249 270 362 415 498 543 747 830 905 1086 1245 1494 1629 1810 2241 2490 2715 3258 3735 4482 4887 5430 7470 8145 9774 11205 15023 16290 22410 24435 30046 45069 48870 75115 89809 90138 135207 150230 179618 225345 269427 270414 405621 449045 450690 538854 676035 808281 811242 898090 1347135 1352070 1616562 2028105 2424843 2694270 4041405 4056210 4849686 7454147 8082810 12124215 14908294 16255429 22362441 24248430 32510858 37270735 44724882 48766287 67087323 74541470 81277145 97532574 111812205 134174646 146298861 162554290 201261969 223624410 243831435 292597722 335436615 402523938 438896583 487662870 670873230 731494305 877793166 1006309845 1349200607 1462988610 2012619690 2194482915 2698401214 4047601821 4388965830 6746003035 8095203642 12142805463 13492006070 20238009105 24285610926 36428416389 40476018210 60714027315 72856832778 121428054630 182142081945 364284163890