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1077066064 = 24414338183
BaseRepresentation
bin100000000110010…
…1011100101010000
32210001200121212201
41000030223211100
54201212103224
6254513132544
735455624204
oct10014534520
92701617781
101077066064
11502a80748
1226085a154
131421b0cc9
14a308cb04
1564855a44
hex4032b950

1077066064 has 40 divisors (see below), whose sum is σ = 2187484992. Its totient is φ = 513166080.

The previous prime is 1077066043. The next prime is 1077066073. The reversal of 1077066064 is 4606607701.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9117 + ... + 47299.

Almost surely, 21077066064 is an apocalyptic number.

It is an amenable number.

1077066064 is an abundant number, since it is smaller than the sum of its proper divisors (1110418928).

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

1077066064 is a wasteful number, since it uses less digits than its factorization.

1077066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38275 (or 38269 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 1077066064 is about 32818.6846780915. The cubic root of 1077066064 is about 1025.0556587662.

The spelling of 1077066064 in words is "one billion, seventy-seven million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 41 43 82 86 164 172 328 344 656 688 1763 3526 7052 14104 28208 38183 76366 152732 305464 610928 1565503 1641869 3131006 3283738 6262012 6567476 12524024 13134952 25048048 26269904 67316629 134633258 269266516 538533032 1077066064