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1069389664 = 2574879803
BaseRepresentation
bin111111101111011…
…001011101100000
32202112020121211121
4333233121131200
54142230432124
6254040422024
735333443060
oct7757313540
92675217747
101069389664
114a9708312
1225a177914
13140723c65
14a20513a0
1563d3b2e4
hex3fbd9760

1069389664 has 48 divisors (see below), whose sum is σ = 2411313408. Its totient is φ = 457322112.

The previous prime is 1069389649. The next prime is 1069389707. The reversal of 1069389664 is 4669839601.

It is a super-2 number, since 2×10693896642 = 2287188506940065792, which contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 104187 + ... + 113989.

It is an arithmetic number, because the mean of its divisors is an integer number (50235696).

Almost surely, 21069389664 is an apocalyptic number.

1069389664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205656704).

1069389664 is an abundant number, since it is smaller than the sum of its proper divisors (1341923744).

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

1069389664 is an equidigital number, since it uses as much as digits as its factorization.

1069389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 1069389664 is about 32701.5238788653. The cubic root of 1069389664 is about 1022.6146121250.

It can be divided in two parts, 1069 and 389664, that multiplied together give a triangular number (416550816 = T28863).

The spelling of 1069389664 in words is "one billion, sixty-nine million, three hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 487 974 1948 3409 3896 6818 7792 9803 13636 15584 19606 27272 39212 54544 68621 78424 109088 137242 156848 274484 313696 548968 1097936 2195872 4774061 9548122 19096244 33418427 38192488 66836854 76384976 133673708 152769952 267347416 534694832 1069389664