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2770480064 = 261136710723
BaseRepresentation
bin1010010100100010…
…0010101111000000
321011002010222011202
42211020202233000
521133220330224
61134525000332
7125440456232
oct24510425700
97132128152
102770480064
1111a1955750
126539b30a8
13351c92921
141c3d3c252
15113357eae
hexa5222bc0

2770480064 has 56 divisors (see below), whose sum is σ = 6014362368. Its totient is φ = 1255760640.

The previous prime is 2770480039. The next prime is 2770480087. The reversal of 2770480064 is 4600840772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253007 + ... + 263729.

It is an arithmetic number, because the mean of its divisors is an integer number (107399328).

Almost surely, 22770480064 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 2770480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007181184).

2770480064 is an abundant number, since it is smaller than the sum of its proper divisors (3243882304).

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

2770480064 is a wasteful number, since it uses less digits than its factorization.

2770480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11113 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2770480064 is about 52635.3499465901. The cubic root of 2770480064 is about 1404.4890031825.

The spelling of 2770480064 in words is "two billion, seven hundred seventy million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 367 704 734 1468 2936 4037 5872 8074 10723 11744 16148 21446 23488 32296 42892 64592 85784 117953 129184 171568 235906 258368 343136 471812 686272 943624 1887248 3774496 3935341 7548992 7870682 15741364 31482728 43288751 62965456 86577502 125930912 173155004 251861824 346310008 692620016 1385240032 2770480064