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1064360016 = 243238919001
BaseRepresentation
bin111111011100001…
…101100001010000
32202011210002110100
4333130031201100
54134434010031
6253340532400
735242624266
oct7734154120
92664702410
101064360016
114a6892485
12258551100
1313c682835
14a1502436
1563695de6
hex3f70d850

1064360016 has 60 divisors (see below), whose sum is σ = 2986544340. Its totient is φ = 353856000.

The previous prime is 1064359997. The next prime is 1064360023. The reversal of 1064360016 is 6100634601.

1064360016 is a `hidden beast` number, since 1 + 0 + 6 + 43 + 600 + 16 = 666.

1064360016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 205635600 + 858724416 = 14340^2 + 29304^2 .

It is a super-2 number, since 2×10643600162 = 2265724487319040512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46516 + ... + 65516.

It is an arithmetic number, because the mean of its divisors is an integer number (49775739).

Almost surely, 21064360016 is an apocalyptic number.

1064360016 is a gapful number since it is divisible by the number (16) 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 1064360016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493272170).

1064360016 is an abundant number, since it is smaller than the sum of its proper divisors (1922184324).

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

1064360016 is a wasteful number, since it uses less digits than its factorization.

1064360016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19404 (or 19395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1064360016 is about 32624.5308931791. The cubic root of 1064360016 is about 1021.0088749255.

Adding to 1064360016 its reverse (6100634601), we get a palindrome (7164994617).

The spelling of 1064360016 in words is "one billion, sixty-four million, three hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 14004 18672 19001 28008 38002 56016 57003 76004 114006 152008 171009 228012 304016 342018 456024 684036 912048 1368072 2736144 7391389 14782778 22174167 29565556 44348334 59131112 66522501 88696668 118262224 133045002 177393336 266090004 354786672 532180008 1064360016