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2905428064 = 257111179151
BaseRepresentation
bin1010110100101101…
…0101000001100000
321111111002001000211
42231023111001200
521422242144224
61200145223504
7131666505520
oct25513250140
97444061024
102905428064
111261047120
12691031b94
13373c21606
141d7c29680
15120112894
hexad2d5060

2905428064 has 48 divisors (see below), whose sum is σ = 7131511296. Its totient is φ = 1131984000.

The previous prime is 2905428047. The next prime is 2905428077. The reversal of 2905428064 is 4608245092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587112 + ... + 592039.

It is an arithmetic number, because the mean of its divisors is an integer number (148573152).

Almost surely, 22905428064 is an apocalyptic number.

It is an amenable number.

2905428064 is an abundant number, since it is smaller than the sum of its proper divisors (4226083232).

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

2905428064 is a wasteful number, since it uses less digits than its factorization.

2905428064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179179 (or 1179171 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2905428064 is about 53902.0228191856. The cubic root of 2905428064 is about 1426.9323228863.

The spelling of 2905428064 in words is "two billion, nine hundred five million, four hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 1179151 2358302 4716604 8254057 9433208 12970661 16508114 18866416 25941322 33016228 37732832 51882644 66032456 90794627 103765288 132064912 181589254 207530576 264129824 363178508 415061152 726357016 1452714032 2905428064