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1069995312 = 2433103139173
BaseRepresentation
bin111111110001101…
…101010100110000
32202120101101122000
4333301231110300
54142404322222
6254101414000
735341544601
oct7761552460
92676341560
101069995312
114a9a91351
1225a40a300
131408a6829
14a216bda8
1563e0a9ac
hex3fc6d530

1069995312 has 160 divisors (see below), whose sum is σ = 3141465600. Its totient is φ = 348634368.

The previous prime is 1069995299. The next prime is 1069995319. The reversal of 1069995312 is 2135999601.

It is a happy number.

1069995312 is a `hidden beast` number, since 106 + 9 + 9 + 9 + 531 + 2 = 666.

It is a super-2 number, since 2×10699953122 = 2289779935403954688, 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 not an unprimeable number, because it can be changed into a prime (1069995319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6184858 + ... + 6185030.

It is an arithmetic number, because the mean of its divisors is an integer number (19634160).

Almost surely, 21069995312 is an apocalyptic number.

1069995312 is a gapful number since it is divisible by the number (12) 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 1069995312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570732800).

1069995312 is an abundant number, since it is smaller than the sum of its proper divisors (2071470288).

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

1069995312 is a wasteful number, since it uses less digits than its factorization.

1069995312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1069995312 is about 32710.7828093429. The cubic root of 1069995312 is about 1022.8076280201.

The spelling of 1069995312 in words is "one billion, sixty-nine million, nine hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 139 144 173 206 216 278 309 346 412 417 432 519 556 618 692 824 834 927 1038 1112 1236 1251 1384 1557 1648 1668 1854 2076 2224 2472 2502 2768 2781 3114 3336 3708 3753 4152 4671 4944 5004 5562 6228 6672 7416 7506 8304 9342 10008 11124 12456 14317 14832 15012 17819 18684 20016 22248 24047 24912 28634 30024 35638 37368 42951 44496 48094 53457 57268 60048 71276 72141 74736 85902 96188 106914 114536 128853 142552 144282 160371 171804 192376 213828 216423 229072 257706 285104 288564 320742 343608 384752 386559 427656 432846 481113 515412 577128 641484 649269 687216 773118 855312 865692 962226 1030824 1154256 1282968 1298538 1546236 1731384 1924452 2061648 2476841 2565936 2597076 3092472 3462768 3848904 4953682 5194152 6184944 7430523 7697808 9907364 10388304 14861046 19814728 22291569 29722092 39629456 44583138 59444184 66874707 89166276 118888368 133749414 178332552 267498828 356665104 534997656 1069995312