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30026221568 = 211725472
BaseRepresentation
bin11011111101101100…
…111100100000000000
32212111120122002121022
4123331230330200000
5442443203042233
621443250045012
72112035446400
oct337554744000
985446562538
1030026221568
1111809023752
12599b879768
132aa6946315
14164bb12800
15bab0a8398
hex6fdb3c800

30026221568 has 108 divisors (see below), whose sum is σ = 69967780155. Its totient is φ = 12844855296.

The previous prime is 30026221567. The next prime is 30026221591. The reversal of 30026221568 is 86512262003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 15013110784 + 15013110784 = 122528^2 + 122528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=122528.

It is not an unprimeable number, because it can be changed into a prime (30026221567) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 54892271 + ... + 54892817.

Almost surely, 230026221568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30026221568

30026221568 is an abundant number, since it is smaller than the sum of its proper divisors (39941558587).

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

30026221568 is an frugal number, since it uses more digits than its factorization.

30026221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 30026221568 in words is "thirty billion, twenty-six million, two hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 547 784 896 1024 1094 1568 1792 2048 2188 3136 3584 3829 4376 6272 7168 7658 8752 12544 14336 15316 17504 25088 26803 30632 35008 50176 53606 61264 70016 100352 107212 122528 140032 214424 245056 280064 299209 428848 490112 560128 598418 857696 980224 1120256 1196836 1715392 1960448 2094463 2393672 3430784 3920896 4188926 4787344 6861568 7841792 8377852 9574688 13723136 14661241 16755704 19149376 27446272 29322482 33511408 38298752 54892544 58644964 67022816 76597504 117289928 134045632 153195008 234579856 268091264 306390016 469159712 536182528 612780032 938319424 1072365056 1876638848 2144730112 3753277696 4289460224 7506555392 15013110784 30026221568