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11988760825441 = 1187229172
BaseRepresentation
bin1010111001110101100111…
…0101001000111001100001
31120110010002100120212202001
42232131121311020321201
53032410440232403231
641255321035324001
72345105445422521
oct256353165107141
946403070525661
1011988760825441
11390244aa37694
1214176038b0601
1368c6c607303a
142d638b04d681
1515bcc6389b61
hexae759d48e61

11988760825441 has 9 divisors (see below), whose sum is σ = 12002984223699. Its totient is φ = 11974554274104.

The previous prime is 11988760825423. The next prime is 11988760825463. The reversal of 11988760825441 is 14452806788911.

The square root of 11988760825441 is 3462479.

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

It can be written as a sum of positive squares in only one way, i.e., 11972326611025 + 16434214416 = 3460105^2 + 128196^2 .

It is not a de Polignac number, because 11988760825441 - 223 = 11988752436833 is a prime.

It is a super-2 number, since 2×119887608254412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11988760825141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4109961115 + ... + 4109964031.

Almost surely, 211988760825441 is an apocalyptic number.

11988760825441 is the 3462479-th square number.

11988760825441 is the 1731240-th centered octagonal number.

It is an amenable number.

11988760825441 is a deficient number, since it is larger than the sum of its proper divisors (14223398258).

11988760825441 is an frugal number, since it uses more digits than its factorization.

11988760825441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 64.

Multiplying 11988760825441 by its sum of digits (64), we get a square (767280692828224 = 276998322).

The spelling of 11988760825441 in words is "eleven trillion, nine hundred eighty-eight billion, seven hundred sixty million, eight hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 1187 2917 1408969 3462479 8508889 4109962573 10100051243 11988760825441