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30023246466 = 232234710115277
BaseRepresentation
bin11011111101100001…
…100110001010000010
32212111101000221112100
4123331201212022002
5442441422341331
621443102211230
72112001245543
oct337541461202
985441027470
1030023246466
1111807381494
12599a883b16
132aa61440c5
14164b57a4ca
15baabbbae6
hex6fd866282

30023246466 has 96 divisors (see below), whose sum is σ = 70013818368. Its totient is φ = 9275587200.

The previous prime is 30023246459. The next prime is 30023246471. The reversal of 30023246466 is 66464232003.

30023246466 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 3 + 2 + 4 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30023246466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1957620 + ... + 1972896.

It is an arithmetic number, because the mean of its divisors is an integer number (729310608).

Almost surely, 230023246466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023246466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006909184).

30023246466 is an abundant number, since it is smaller than the sum of its proper divisors (39990571902).

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

30023246466 is a wasteful number, since it uses less digits than its factorization.

30023246466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15456 (or 15453 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 30023246466 its reverse (66464232003), we get a palindrome (96487478469).

The spelling of 30023246466 in words is "thirty billion, twenty-three million, two hundred forty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 101 138 141 202 207 282 303 414 423 606 846 909 1081 1818 2162 2323 3243 4646 4747 6486 6969 9494 9729 13938 14241 15277 19458 20907 28482 30554 41814 42723 45831 85446 91662 109181 137493 218362 274986 327543 351371 655086 702742 718019 982629 1054113 1436038 1542977 1965258 2108226 2154057 3085954 3162339 4308114 4628931 6324678 6462171 9257862 12924342 13886793 16514437 27773586 33028874 35488471 49543311 70976942 72519919 99086622 106465413 145039838 148629933 212930826 217559757 297259866 319396239 435119514 638792478 652679271 1305358542 1667958137 3335916274 5003874411 10007748822 15011623233 30023246466