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2731872064 = 261371731801
BaseRepresentation
bin1010001011010101…
…0000111101000000
321001101111110221211
42202311100331000
521043324401224
61131025255504
7124461346405
oct24265207500
97041443854
102731872064
111182085a09
12642a94594
13346c9585c
141bcb6c2ac
1510ec7d894
hexa2d50f40

2731872064 has 56 divisors (see below), whose sum is σ = 5495242248. Its totient is φ = 1347379200.

The previous prime is 2731872047. The next prime is 2731872083. The reversal of 2731872064 is 4602781372.

It can be written as a sum of positive squares in 4 ways, for example, as 556582464 + 2175289600 = 23592^2 + 46640^2 .

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, 1515964 + ... + 1517764.

Almost surely, 22731872064 is an apocalyptic number.

It is an amenable number.

2731872064 is an abundant number, since it is smaller than the sum of its proper divisors (2763370184).

2731872064 is a wasteful number, since it uses less digits than its factorization.

2731872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 2731872064 is about 52267.3135334121. The cubic root of 2731872064 is about 1397.9343796439.

The spelling of 2731872064 in words is "two billion, seven hundred thirty-one million, eight hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 137 173 274 346 548 692 1096 1384 1801 2192 2768 3602 4384 5536 7204 8768 11072 14408 23701 28816 47402 57632 94804 115264 189608 246737 311573 379216 493474 623146 758432 986948 1246292 1516864 1973896 2492584 3947792 4985168 7895584 9970336 15791168 19940672 42685501 85371002 170742004 341484008 682968016 1365936032 2731872064