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497703441361 = 7297210392
BaseRepresentation
bin1110011111000010110…
…11111101001111010001
31202120122210211110001011
413033201123331033101
531123244040110421
61020350344010521
750646361310200
oct7174133751721
91676583743034
10497703441361
11182090687a55
128055ba60a41
1337c1940c139
141a13620d237
15ce2e1e14e1
hex73e16fd3d1

497703441361 has 27 divisors (see below), whose sum is σ = 585554925339. Its totient is φ = 421798624128.

The previous prime is 497703441359. The next prime is 497703441377. The reversal of 497703441361 is 163144307794.

The square root of 497703441361 is 705481.

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., 223487835025 + 274215606336 = 472745^2 + 523656^2 .

It is not a de Polignac number, because 497703441361 - 21 = 497703441359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497703441761) 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, 479021080 + ... + 479022118.

It is an arithmetic number, because the mean of its divisors is an integer number (21687219457).

Almost surely, 2497703441361 is an apocalyptic number.

497703441361 is the 705481-st square number.

497703441361 is the 352741-st centered octagonal number.

It is an amenable number.

497703441361 is a deficient number, since it is larger than the sum of its proper divisors (87851483978).

497703441361 is an frugal number, since it uses more digits than its factorization.

497703441361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

Multiplying 497703441361 by its sum of digits (49), we get a square (24387468626689 = 49383672).

497703441361 divided by its sum of digits (49) gives a square (10157213089 = 1007832).

The spelling of 497703441361 in words is "four hundred ninety-seven billion, seven hundred three million, four hundred forty-one thousand, three hundred sixty-one".

Divisors: 1 7 49 97 679 1039 4753 7273 9409 50911 65863 100783 461041 705481 1079521 4938367 7556647 9775951 52896529 68431657 104713537 479021599 732994759 5130963313 10157213089 71100491623 497703441361