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11445210016 = 2517106919681
BaseRepresentation
bin10101010100011000…
…00000101110100000
31002112122011220120021
422222030000232200
5141414433210031
65131410323224
7553423452142
oct125214005640
932478156507
1011445210016
114943582759
122274b89514
131105238026
147a8082c92
1546ebd3511
hex2aa300ba0

11445210016 has 48 divisors (see below), whose sum is σ = 23881745160. Its totient is φ = 5380669440.

The previous prime is 11445210001. The next prime is 11445210019. The reversal of 11445210016 is 61001254411.

It can be written as a sum of positive squares in 4 ways, for example, as 11393427600 + 51782416 = 106740^2 + 7196^2 .

It is not an unprimeable number, because it can be changed into a prime (11445210019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571696 + ... + 591376.

Almost surely, 211445210016 is an apocalyptic number.

11445210016 is a gapful number since it is divisible by the number (16) 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 11445210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940872580).

11445210016 is an abundant number, since it is smaller than the sum of its proper divisors (12436535144).

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

11445210016 is a wasteful number, since it uses less digits than its factorization.

11445210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 11445210016 its reverse (61001254411), we get a palindrome (72446464427).

The spelling of 11445210016 in words is "eleven billion, four hundred forty-five million, two hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1069 2138 4276 8552 17104 18173 19681 34208 36346 39362 72692 78724 145384 157448 290768 314896 334577 581536 629792 669154 1338308 2676616 5353232 10706464 21038989 42077978 84155956 168311912 336623824 357662813 673247648 715325626 1430651252 2861302504 5722605008 11445210016