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10583137064 = 231322892133
BaseRepresentation
bin10011101101100110…
…11101101100101000
31000022120001001210102
421312303131230220
5133133240341224
64510053204532
7523155116003
oct116663355450
930276031712
1010583137064
1145409a5575
122074330748
13cc87607a6
1472579a53a
1541e1994ae
hex276cddb28

10583137064 has 8 divisors (see below), whose sum is σ = 19843382010. Its totient is φ = 5291568528.

The previous prime is 10583137057. The next prime is 10583137079. The reversal of 10583137064 is 46073138501.

It can be written as a sum of positive squares in only one way, i.e., 10270200964 + 312936100 = 101342^2 + 17690^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105831370642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661446059 + ... + 661446074.

Almost surely, 210583137064 is an apocalyptic number.

It is an amenable number.

10583137064 is a deficient number, since it is larger than the sum of its proper divisors (9260244946).

10583137064 is a wasteful number, since it uses less digits than its factorization.

10583137064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322892139 (or 1322892135 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 10583137064 in words is "ten billion, five hundred eighty-three million, one hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 4 8 1322892133 2645784266 5291568532 10583137064