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1071665064 = 233214884237
BaseRepresentation
bin111111111000000…
…100111110101000
32202200112020002200
4333320010332220
54143321240224
6254201300200
735362000641
oct7770047650
92680466080
101071665064
114aaa21908
1225aa94660
1314103c852
14a24846c8
156413a5c9
hex3fe04fa8

1071665064 has 24 divisors (see below), whose sum is σ = 2902426410. Its totient is φ = 357221664.

The previous prime is 1071665053. The next prime is 1071665069. The reversal of 1071665064 is 4605661701.

It can be written as a sum of positive squares in only one way, i.e., 1071252900 + 412164 = 32730^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10716650642 = 2296932018796248192, which contains 22 as substring.

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 (1071665069) 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 5 ways as a sum of consecutive naturals, for example, 7442047 + ... + 7442190.

Almost surely, 21071665064 is an apocalyptic number.

It is an amenable number.

1071665064 is an abundant number, since it is smaller than the sum of its proper divisors (1830761346).

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

1071665064 is a wasteful number, since it uses less digits than its factorization.

1071665064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884249 (or 14884242 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1071665064 is about 32736.2958197778. The cubic root of 1071665064 is about 1023.3393896895.

The spelling of 1071665064 in words is "one billion, seventy-one million, six hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14884237 29768474 44652711 59536948 89305422 119073896 133958133 178610844 267916266 357221688 535832532 1071665064