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11353532416 = 21117326101
BaseRepresentation
bin10101001001011100…
…10010100000000000
31002022020200012112121
422210232102200000
5141223001014131
65114333334024
7551231301412
oct124456224000
932266605477
1011353532416
1148a6855a46
12224a337314
1310bc249625
14799c1a9b2
15466b24911
hex2a4b92800

11353532416 has 48 divisors (see below), whose sum is σ = 24036978420. Its totient is φ = 5342822400.

The previous prime is 11353532381. The next prime is 11353532417. The reversal of 11353532416 is 61423535311.

It can be written as a sum of positive squares in 2 ways, for example, as 10518553600 + 834978816 = 102560^2 + 28896^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11353532417) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 128235 + ... + 197866.

Almost surely, 211353532416 is an apocalyptic number.

11353532416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11353532416 is an abundant number, since it is smaller than the sum of its proper divisors (12683446004).

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

11353532416 is an equidigital number, since it uses as much as digits as its factorization.

11353532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326140 (or 326120 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The spelling of 11353532416 in words is "eleven billion, three hundred fifty-three million, five hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4352 8704 17408 34816 326101 652202 1304404 2608808 5217616 5543717 10435232 11087434 20870464 22174868 41740928 44349736 83481856 88699472 166963712 177398944 333927424 354797888 667854848 709595776 1419191552 2838383104 5676766208 11353532416