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28817194536 = 23321323536709
BaseRepresentation
bin11010110101101000…
…110111111000101000
32202101022122011022100
4122311220313320220
5433004200211121
621123300253400
72040055053264
oct326550677050
982338564270
1028817194536
1111248611859
1257029a1260
132943311100
1415753130a4
15b39d88026
hex6b5a37e28

28817194536 has 144 divisors (see below), whose sum is σ = 84764007900. Its totient is φ = 8840392704.

The previous prime is 28817194507. The next prime is 28817194537. The reversal of 28817194536 is 63549171882.

28817194536 is a `hidden beast` number, since 2 + 8 + 8 + 17 + 1 + 94 + 536 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5011790436 + 23805404100 = 70794^2 + 154290^2 .

It is not an unprimeable number, because it can be changed into a prime (28817194537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4291950 + ... + 4298658.

Almost surely, 228817194536 is an apocalyptic number.

28817194536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28817194536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42382003950).

28817194536 is an abundant number, since it is smaller than the sum of its proper divisors (55946813364).

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

28817194536 is a wasteful number, since it uses less digits than its factorization.

28817194536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7080 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 28817194536 in words is "twenty-eight billion, eight hundred seventeen million, one hundred ninety-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 353 468 507 676 706 936 1014 1059 1352 1412 1521 2028 2118 2824 3042 3177 4056 4236 4589 6084 6354 6709 8472 9178 12168 12708 13418 13767 18356 20127 25416 26836 27534 36712 40254 41301 53672 55068 59657 60381 80508 82602 87217 110136 119314 120762 161016 165204 174434 178971 238628 241524 261651 330408 348868 357942 477256 483048 523302 536913 697736 715884 784953 1046604 1073826 1133821 1431768 1569906 2093208 2147652 2267642 2368277 3139812 3401463 4295304 4535284 4736554 6279624 6802926 7104831 9070568 9473108 10204389 13605852 14209662 18946216 20408778 21314493 27211704 28419324 30787601 40817556 42628986 56838648 61575202 81635112 85257972 92362803 123150404 170515944 184725606 246300808 277088409 369451212 400238813 554176818 738902424 800477626 1108353636 1200716439 1600955252 2216707272 2401432878 3201910504 3602149317 4802865756 7204298634 9605731512 14408597268 28817194536