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1070105664 = 26317327851
BaseRepresentation
bin111111110010001…
…000010001000000
32202120121000000010
4333302020101000
54142421340124
6254104024520
735342514405
oct7762102100
92676530003
101070105664
114aa057251
1225a462140
13140914b24
14a219a2ac
1563e2d529
hex3fc88440

1070105664 has 56 divisors (see below), whose sum is σ = 2997878688. Its totient is φ = 335718400.

The previous prime is 1070105653. The next prime is 1070105671. The reversal of 1070105664 is 4665010701.

It is a super-2 number, since 2×10701056642 = 2290252264249761792, which contains 22 as substring.

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, 160662 + ... + 167189.

It is an arithmetic number, because the mean of its divisors is an integer number (53533548).

Almost surely, 21070105664 is an apocalyptic number.

It is an amenable number.

1070105664 is an abundant number, since it is smaller than the sum of its proper divisors (1927773024).

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

1070105664 is a wasteful number, since it uses less digits than its factorization.

1070105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327883 (or 327873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1070105664 is about 32712.4695490879. The cubic root of 1070105664 is about 1022.8427886064.

The spelling of 1070105664 in words is "one billion, seventy million, one hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 327851 655702 983553 1311404 1967106 2622808 3934212 5245616 5573467 7868424 10491232 11146934 15736848 16720401 20982464 22293868 31473696 33440802 44587736 62947392 66881604 89175472 133763208 178350944 267526416 356701888 535052832 1070105664