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11023320064 = 2101721932
BaseRepresentation
bin10100100010000101…
…01000010000000000
31001110020022200100111
422101002220100000
5140033432220224
65021500001104
7540111450241
oct122102502000
931406280314
1011023320064
114747416579
122177830194
131068a00cc3
14768020cc8
15447b48d94
hex2910a8400

11023320064 has 99 divisors (see below), whose sum is σ = 23530267047. Its totient is φ = 5160566784.

The previous prime is 11023320043. The next prime is 11023320067. The reversal of 11023320064 is 46002332011.

The square root of 11023320064 is 104992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 11016601600 = 2592^2 + 104960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11023320067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57115552 + ... + 57115744.

Almost surely, 211023320064 is an apocalyptic number.

11023320064 is the 104992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023320064

11023320064 is an abundant number, since it is smaller than the sum of its proper divisors (12506946983).

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

11023320064 is an frugal number, since it uses more digits than its factorization.

11023320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11023320064 its reverse (46002332011), we get a palindrome (57025652075).

The spelling of 11023320064 in words is "eleven billion, twenty-three million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 193 256 272 289 386 512 544 578 772 1024 1088 1156 1544 2176 2312 3088 3281 4352 4624 6176 6562 8704 9248 12352 13124 17408 18496 24704 26248 36992 37249 49408 52496 55777 73984 74498 98816 104992 111554 147968 148996 197632 209984 223108 295936 297992 419968 446216 595984 633233 839936 892432 1191968 1266466 1679872 1784864 2383936 2532932 3359744 3569728 4767872 5065864 7139456 9535744 10131728 10764961 14278912 19071488 20263456 21529922 28557824 38142976 40526912 43059844 57115648 81053824 86119688 162107648 172239376 324215296 344478752 648430592 688957504 1377915008 2755830016 5511660032 11023320064