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490743681961 = 132538872
BaseRepresentation
bin1110010010000101001…
…10100101001110101001
31201220200202211000222111
413021002212211032221
531020020340310321
61013240004122321
750312041320361
oct7110246451651
91656622730874
10490743681961
1117a13a018785
127b1390963a1
133737a555400
1419a75b699a1
15cb731c55e1
hex72429a53a9

490743681961 has 9 divisors (see below), whose sum is σ = 531406866231. Its totient is φ = 452985761592.

The previous prime is 490743681937. The next prime is 490743681983. The reversal of 490743681961 is 169186347094.

The square root of 490743681961 is 700531.

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., 72595219225 + 418148462736 = 269435^2 + 646644^2 .

It is not a de Polignac number, because 490743681961 - 231 = 488596198313 is a prime.

It is a super-2 number, since 2×4907436819612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 490743681896 and 490743681905.

It is not an unprimeable number, because it can be changed into a prime (490743685961) 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, 9079960 + ... + 9133846.

It is an arithmetic number, because the mean of its divisors is an integer number (59045207359).

Almost surely, 2490743681961 is an apocalyptic number.

490743681961 is the 700531-st square number.

490743681961 is the 350266-th centered octagonal number.

It is an amenable number.

490743681961 is a deficient number, since it is larger than the sum of its proper divisors (40663184270).

490743681961 is an frugal number, since it uses more digits than its factorization.

490743681961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107800 (or 53900 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 490743681961 in words is "four hundred ninety billion, seven hundred forty-three million, six hundred eighty-one thousand, nine hundred sixty-one".

Divisors: 1 13 169 53887 700531 9106903 2903808769 37749513997 490743681961