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1064971674 = 2321310145061
BaseRepresentation
bin111111011110100…
…010110110011010
32202012221011111100
4333132202312122
54140113043144
6253402012230
735251052454
oct7736426632
92665834440
101064971674
114a716aa88
122587a7076
1313c838070
14a16212d4
1563767269
hex3f7a2d9a

1064971674 has 48 divisors (see below), whose sum is σ = 2509592904. Its totient is φ = 324432000.

The previous prime is 1064971667. The next prime is 1064971697. The reversal of 1064971674 is 4761794601.

It can be written as a sum of positive squares in 4 ways, for example, as 1062434025 + 2537649 = 32595^2 + 1593^2 .

It is a super-2 number, since 2×10649716742 = 2268329332844724552, which contains 22 as substring.

It is a Curzon number.

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 in 23 ways as a sum of consecutive naturals, for example, 1104 + ... + 46164.

Almost surely, 21064971674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064971674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254796452).

1064971674 is an abundant number, since it is smaller than the sum of its proper divisors (1444621230).

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

1064971674 is a wasteful number, since it uses less digits than its factorization.

1064971674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45183 (or 45180 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1064971674 is about 32633.9037505475. The cubic root of 1064971674 is about 1021.2044192420.

The spelling of 1064971674 in words is "one billion, sixty-four million, nine hundred seventy-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 23634 45061 90122 135183 270366 405549 585793 811098 1171586 1757379 3514758 4551161 5272137 9102322 10544274 13653483 27306966 40960449 59165093 81920898 118330186 177495279 354990558 532485837 1064971674