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2058065712 = 243319250739
BaseRepresentation
bin111101010101011…
…1001011100110000
312022102121120102000
41322222321130300
513203331100322
6540115254000
7102000161403
oct17252713460
95272546360
102058065712
119667a725a
124952aa300
1326a4c7a81
14157491d3a
15c0a323ac
hex7aab9730

2058065712 has 80 divisors (see below), whose sum is σ = 6218352000. Its totient is φ = 649912896.

The previous prime is 2058065627. The next prime is 2058065717. The reversal of 2058065712 is 2175608502.

It is a happy number.

2058065712 is a `hidden beast` number, since 2 + 0 + 5 + 80 + 6 + 571 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2058065717) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117162 + ... + 133577.

It is an arithmetic number, because the mean of its divisors is an integer number (77729400).

Almost surely, 22058065712 is an apocalyptic number.

It is an amenable number.

2058065712 is an abundant number, since it is smaller than the sum of its proper divisors (4160286288).

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

2058065712 is a wasteful number, since it uses less digits than its factorization.

2058065712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250775 (or 250763 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2058065712 is about 45365.9091389118. The cubic root of 2058065712 is about 1271.9979530049.

The spelling of 2058065712 in words is "two billion, fifty-eight million, sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 250739 501478 752217 1002956 1504434 2005912 2256651 3008868 4011824 4513302 4764041 6017736 6769953 9026604 9528082 12035472 13539906 14292123 18053208 19056164 27079812 28584246 36106416 38112328 42876369 54159624 57168492 76224656 85752738 108319248 114336984 128629107 171505476 228673968 257258214 343010952 514516428 686021904 1029032856 2058065712