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3075128064 = 283549433
BaseRepresentation
bin1011011101001010…
…1011101100000000
321221022101200200000
42313102223230000
522244213044224
61225050400000
7136130104641
oct26722535400
97838350600
103075128064
111338914258
12719a30000
133a012a208
142125a16c8
1512ee840c9
hexb74abb00

3075128064 has 108 divisors (see below), whose sum is σ = 9194921736. Its totient is φ = 1025021952.

The previous prime is 3075128059. The next prime is 3075128117. The reversal of 3075128064 is 4608215703.

3075128064 is a `hidden beast` number, since 3 + 0 + 7 + 512 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×30751280642 = 18912825220000776192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37492 + ... + 86924.

Almost surely, 23075128064 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 3075128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597460868).

3075128064 is an abundant number, since it is smaller than the sum of its proper divisors (6119793672).

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

3075128064 is an frugal number, since it uses more digits than its factorization.

3075128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49464 (or 49438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3075128064 is about 55453.8372342257. The cubic root of 3075128064 is about 1454.1897157009.

The spelling of 3075128064 in words is "three billion, seventy-five million, one hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 49433 62208 98866 148299 197732 296598 395464 444897 593196 790928 889794 1186392 1334691 1581856 1779588 2372784 2669382 3163712 3559176 4004073 4745568 5338764 6327424 7118352 8008146 9491136 10677528 12012219 12654848 14236704 16016292 18982272 21355056 24024438 28473408 32032584 37964544 42710112 48048876 56946816 64065168 85420224 96097752 113893632 128130336 170840448 192195504 256260672 341680896 384391008 512521344 768782016 1025042688 1537564032 3075128064