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330010424064 = 2832330143391
BaseRepresentation
bin1001100110101100010…
…01110111001100000000
31011112210222211112020200
410303112021313030000
520401330132032224
6411334340405200
732561652215136
oct4632611671400
91145728745220
10330010424064
11117a58310062
1253b5b9a6800
1325173403599
1411d88b01756
1588b71965c9
hex4cd6277300

330010424064 has 108 divisors (see below), whose sum is σ = 951811590912. Its totient is φ = 109967616000.

The previous prime is 330010424017. The next prime is 330010424071. The reversal of 330010424064 is 460424010033.

It is a super-2 number, since 2×3300104240642 (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7583809 + ... + 7627199.

Almost surely, 2330010424064 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 330010424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475905795456).

330010424064 is an abundant number, since it is smaller than the sum of its proper divisors (621801166848).

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

330010424064 is a wasteful number, since it uses less digits than its factorization.

330010424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46714 (or 46697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 330010424064 its reverse (460424010033), we get a palindrome (790434434097).

The spelling of 330010424064 in words is "three hundred thirty billion, ten million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3301 6602 9903 13204 19806 26408 29709 39612 43391 52816 59418 79224 86782 105632 118836 130173 158448 173564 211264 237672 260346 316896 347128 390519 422528 475344 520692 633792 694256 781038 845056 950688 1041384 1267584 1388512 1562076 1901376 2082768 2535168 2777024 3124152 3802752 4165536 5554048 6248304 7605504 8331072 11108096 12496608 16662144 24993216 33324288 49986432 99972864 143233691 286467382 429701073 572934764 859402146 1145869528 1289103219 1718804292 2291739056 2578206438 3437608584 4583478112 5156412876 6875217168 9166956224 10312825752 13750434336 18333912448 20625651504 27500868672 36667824896 41251303008 55001737344 82502606016 110003474688 165005212032 330010424064