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41461511641 = 11210721732
BaseRepresentation
bin100110100111010011…
…000111010111011001
310222000112011000120021
4212213103013113121
51134403121333031
631014104030441
72665312014454
oct464723072731
9128015130507
1041461511641
1116646a40400
128051462421
133ba9aba054
14201473249b
151129e7c511
hex9a74c75d9

41461511641 has 27 divisors (see below), whose sum is σ = 46270749343. Its totient is φ = 37124180720.

The previous prime is 41461511543. The next prime is 41461511647. The reversal of 41461511641 is 14611516414.

The square root of 41461511641 is 203621.

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., 37715582025 + 3745929616 = 194205^2 + 61204^2 .

It is not a de Polignac number, because 41461511641 - 27 = 41461511513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41461511597 and 41461511606.

It is not an unprimeable number, because it can be changed into a prime (41461511647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239661831 + ... + 239662003.

Almost surely, 241461511641 is an apocalyptic number.

41461511641 is the 203621-st square number.

41461511641 is the 101811-st centered octagonal number.

It is an amenable number.

41461511641 is a deficient number, since it is larger than the sum of its proper divisors (4809237702).

41461511641 is an equidigital number, since it uses as much as digits as its factorization.

41461511641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The spelling of 41461511641 in words is "forty-one billion, four hundred sixty-one million, five hundred eleven thousand, six hundred forty-one".

Divisors: 1 11 107 121 173 1177 1903 11449 12947 18511 20933 29929 125939 203621 329219 1385329 1980677 2239831 3202403 3621409 21787447 35226433 239661917 342657121 387490763 3769228331 41461511641