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1064145888 = 253213284227
BaseRepresentation
bin111111011011011…
…001001111100000
32202011101012201200
4333123121033200
54134410132023
6253332201200
735241043101
oct7733311740
92664335650
101064145888
114a6756613
12258469200
1313c609230
14a14883a8
1563652743
hex3f6d93e0

1064145888 has 72 divisors (see below), whose sum is σ = 3258958248. Its totient is φ = 327428352.

The previous prime is 1064145869. The next prime is 1064145917. The reversal of 1064145888 is 8885414601.

1064145888 is a `hidden beast` number, since 1 + 0 + 64 + 1 + 4 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10641458882 = 2264812941894617088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 138370 + ... + 145857.

It is an arithmetic number, because the mean of its divisors is an integer number (45263309).

Almost surely, 21064145888 is an apocalyptic number.

1064145888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1064145888 is an abundant number, since it is smaller than the sum of its proper divisors (2194812360).

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

1064145888 is a wasteful number, since it uses less digits than its factorization.

1064145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284256 (or 284245 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1064145888 is about 32621.2490257501. The cubic root of 1064145888 is about 1020.9404014617.

The spelling of 1064145888 in words is "one billion, sixty-four million, one hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 284227 568454 852681 1136908 1705362 2273816 2558043 3410724 3694951 4547632 5116086 6821448 7389902 9095264 10232172 11084853 13642896 14779804 20464344 22169706 27285792 29559608 33254559 40928688 44339412 59119216 66509118 81857376 88678824 118238432 133018236 177357648 266036472 354715296 532072944 1064145888