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20411031872449 = 45178572
BaseRepresentation
bin1001010010000010100000…
…10011011110001111000001
32200021021102220110001200001
410221001100103132033001
510133403243124404244
6111224410521400001
74204435253213221
oct451012023361701
980237386401601
1020411031872449
11655a2a7417499
122357965339001
13b509a1328a4a
14507c8362a081
15255e100175d4
hex1290504de3c1

20411031872449 has 3 divisors (see below), whose sum is σ = 20411036390307. Its totient is φ = 20411027354592.

The previous prime is 20411031872393. The next prime is 20411031872461. The reversal of 20411031872449 is 94427813011402.

It is a happy number.

The square root of 20411031872449 is 4517857.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 19687457073025 + 723574799424 = 4437055^2 + 850632^2 .

It is not a de Polignac number, because 20411031872449 - 237 = 20273592918977 is a prime.

It is a super-3 number, since 3×204110318724493 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20411031872399 and 20411031872408.

It is not an unprimeable number, because it can be changed into a prime (20411031372449) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2258929 + ... + 6776785.

It is an arithmetic number, because the mean of its divisors is an integer number (6803678796769).

Almost surely, 220411031872449 is an apocalyptic number.

20411031872449 is the 4517857-th square number.

20411031872449 is the 2258929-th centered octagonal number.

It is an amenable number.

20411031872449 is a deficient number, since it is larger than the sum of its proper divisors (4517858).

20411031872449 is an frugal number, since it uses more digits than its factorization.

20411031872449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035714 (or 4517857 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 20411031872449 in words is "twenty trillion, four hundred eleven billion, thirty-one million, eight hundred seventy-two thousand, four hundred forty-nine".

Divisors: 1 4517857 20411031872449