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11683127327481 = 3211393532
BaseRepresentation
bin1010101000000011000010…
…1001110111101011111001
31112100220012020020111121100
42222000300221313223321
53012404021043434411
640503053221002013
72314035533515641
oct252006051675371
945326166214540
1011683127327481
1137a4871885a55
121388327853309
1366993908baac
142c5675a63521
15153d8933b456
hexaa030a77af9

11683127327481 has 9 divisors (see below), whose sum is σ = 16875643173519. Its totient is φ = 7788744715536.

The previous prime is 11683127327479. The next prime is 11683127327497. The reversal of 11683127327481 is 18472372138611.

The square root of 11683127327481 is 3418059.

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

11683127327481 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 3 + 127 + 32 + 7 + 481 = 666.

11683127327481 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 only one way, i.e., 878653143225 + 10804474184256 = 937365^2 + 3287016^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11683127327481 - 21 = 11683127327479 is a prime.

It is a super-2 number, since 2×116831273274812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11683127327401) 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, 9684501 + ... + 10823853.

Almost surely, 211683127327481 is an apocalyptic number.

11683127327481 is the 3418059-th square number.

11683127327481 is the 1709030-th centered octagonal number.

It is an amenable number.

11683127327481 is a deficient number, since it is larger than the sum of its proper divisors (5192515846038).

11683127327481 is an frugal number, since it uses more digits than its factorization.

11683127327481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278712 (or 1139356 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 11683127327481 in words is "eleven trillion, six hundred eighty-three billion, one hundred twenty-seven million, three hundred twenty-seven thousand, four hundred eighty-one".

Divisors: 1 3 9 1139353 3418059 10254177 1298125258609 3894375775827 11683127327481