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203149419841 = 172265132
BaseRepresentation
bin1011110100110010100…
…1100010010101000001
3201102100211110210022201
42331030221202111001
511312022222413331
6233154153033201
720451142402024
oct2751451422501
9642324423281
10203149419841
1179178607a15
12334563b5801
131620695b504
149b924a11bb
15543ebd0a61
hex2f4ca62541

203149419841 has 9 divisors (see below), whose sum is σ = 215810464681. Its totient is φ = 191192242432.

The previous prime is 203149419791. The next prime is 203149419871. The reversal of 203149419841 is 148914941302.

The square root of 203149419841 is 450721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 757405441 + 202392014400 = 27521^2 + 449880^2 .

It is not a de Polignac number, because 203149419841 - 215 = 203149387073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 203149419791 and 203149419800.

It is not an unprimeable number, because it can be changed into a prime (203149419871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7649001 + ... + 7675513.

Almost surely, 2203149419841 is an apocalyptic number.

203149419841 is the 450721-st square number.

203149419841 is the 225361-st centered octagonal number.

It is an amenable number.

203149419841 is a deficient number, since it is larger than the sum of its proper divisors (12661044840).

203149419841 is an frugal number, since it uses more digits than its factorization.

203149419841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53060 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 203149419841 in words is "two hundred three billion, one hundred forty-nine million, four hundred nineteen thousand, eight hundred forty-one".

Divisors: 1 17 289 26513 450721 7662257 702939169 11949965873 203149419841