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1064488768 = 26710921799
BaseRepresentation
bin111111011100101…
…100111101000000
32202012000122001221
4333130230331000
54140002120033
6253343404424
735244001540
oct7734547500
92665018057
101064488768
114a6970192
122585b3714
1313c6c9315
14a1537320
15636be12d
hex3f72cf40

1064488768 has 56 divisors (see below), whose sum is σ = 2436368000. Its totient is φ = 452003328.

The previous prime is 1064488723. The next prime is 1064488807. The reversal of 1064488768 is 8678844601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10644887682 = 2266272674396315648, 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37933 + ... + 59731.

Almost surely, 21064488768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218184000).

1064488768 is an abundant number, since it is smaller than the sum of its proper divisors (1371879232).

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

1064488768 is a wasteful number, since it uses less digits than its factorization.

1064488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 1064488768 is about 32626.5040726094. The cubic root of 1064488768 is about 1021.0500425857.

The spelling of 1064488768 in words is "one billion, sixty-four million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 21799 24416 43598 48832 87196 152593 174392 305186 348784 610372 697568 1220744 1395136 2376091 2441488 4752182 4882976 9504364 9765952 16632637 19008728 33265274 38017456 66530548 76034912 133061096 152069824 266122192 532244384 1064488768