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1009446912 = 21232139197
BaseRepresentation
bin111100001010101…
…111000000000000
32121100110012211200
4330022233000000
54031404300122
6244055541200
734005104625
oct7412570000
92540405750
101009446912
11478896451
1224208a800
13131197086
14980ca34c
155d94a5ac
hex3c2af000

1009446912 has 156 divisors (see below), whose sum is σ = 2951708760. Its totient is φ = 332365824.

The previous prime is 1009446883. The next prime is 1009446923. The reversal of 1009446912 is 2196449001.

It is a happy number.

1009446912 is a `hidden beast` number, since 100 + 94 + 469 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5123998 + ... + 5124194.

It is an arithmetic number, because the mean of its divisors is an integer number (18921210).

Almost surely, 21009446912 is an apocalyptic number.

1009446912 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 1009446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475854380).

1009446912 is an abundant number, since it is smaller than the sum of its proper divisors (1942261848).

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

1009446912 is a wasteful number, since it uses less digits than its factorization.

1009446912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1009446912 is about 31771.7942836095. The cubic root of 1009446912 is about 1003.1391063670.

The spelling of 1009446912 in words is "one billion, nine million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 197 256 278 288 384 394 417 512 556 576 591 768 788 834 1024 1112 1152 1182 1251 1536 1576 1668 1773 2048 2224 2304 2364 2502 3072 3152 3336 3546 4096 4448 4608 4728 5004 6144 6304 6672 7092 8896 9216 9456 10008 12288 12608 13344 14184 17792 18432 18912 20016 25216 26688 27383 28368 35584 36864 37824 40032 50432 53376 54766 56736 71168 75648 80064 82149 100864 106752 109532 113472 142336 151296 160128 164298 201728 213504 219064 226944 246447 284672 302592 320256 328596 403456 427008 438128 453888 492894 569344 605184 640512 657192 806912 854016 876256 907776 985788 1210368 1281024 1314384 1708032 1752512 1815552 1971576 2420736 2562048 2628768 3505024 3631104 3943152 5124096 5257536 7010048 7262208 7886304 10515072 14020096 15772608 21030144 28040192 31545216 42060288 56080384 63090432 84120576 112160768 126180864 168241152 252361728 336482304 504723456 1009446912