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11334450464 = 258915725349
BaseRepresentation
bin10101000111001010…
…11111110100100000
31002020220202202000122
422203211133310200
5141203104403324
65112412335412
7550610145041
oct124345376440
932226682018
1011334450464
114897002437
122243a74568
1310b82c802c
147974908c8
15465105a5e
hex2a395fd20

11334450464 has 48 divisors (see below), whose sum is σ = 22710051000. Its totient is φ = 5567637504.

The previous prime is 11334450461. The next prime is 11334450469. The reversal of 11334450464 is 46405443311.

11334450464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6318978064 + 5015472400 = 79492^2 + 70820^2 .

It is not an unprimeable number, because it can be changed into a prime (11334450461) 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 7 ways as a sum of consecutive naturals, for example, 434462 + ... + 459810.

Almost surely, 211334450464 is an apocalyptic number.

It is an amenable number.

11334450464 is an abundant number, since it is smaller than the sum of its proper divisors (11375600536).

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

11334450464 is a wasteful number, since it uses less digits than its factorization.

11334450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25605 (or 25597 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 11334450464 its reverse (46405443311), we get a palindrome (57739893775).

The spelling of 11334450464 in words is "eleven billion, three hundred thirty-four million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 89 157 178 314 356 628 712 1256 1424 2512 2848 5024 13973 25349 27946 50698 55892 101396 111784 202792 223568 405584 447136 811168 2256061 3979793 4512122 7959586 9024244 15919172 18048488 31838344 36096976 63676688 72193952 127353376 354201577 708403154 1416806308 2833612616 5667225232 11334450464