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491410814049 = 322336692
BaseRepresentation
bin1110010011010100101…
…11011111010001100001
31201222102021010212011100
413021222113133101201
531022402132022144
61013430115105013
750334422000031
oct7115227372141
91658367125140
10491410814049
1117a451658a11
127b2a45a2169
133745582731c
1419ada5c98c1
15cbb1a54269
hex726a5df461

491410814049 has 9 divisors (see below), whose sum is σ = 709818658003. Its totient is φ = 327605807352.

The previous prime is 491410814039. The next prime is 491410814093. The reversal of 491410814049 is 940418014194.

It is a happy number.

The square root of 491410814049 is 701007.

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

491410814049 is a `hidden beast` number, since 4 + 91 + 410 + 8 + 140 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389866618449 + 101544195600 = 624393^2 + 318660^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 491410814049 - 27 = 491410813921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 491410813995 and 491410814013.

It is not an unprimeable number, because it can be changed into a prime (491410814039) 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, 1986187 + ... + 2219855.

Almost surely, 2491410814049 is an apocalyptic number.

491410814049 is the 701007-th square number.

491410814049 is the 350504-th centered octagonal number.

It is an amenable number.

491410814049 is a deficient number, since it is larger than the sum of its proper divisors (218407843954).

491410814049 is an frugal number, since it uses more digits than its factorization.

491410814049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467344 (or 233672 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 491410814049 in words is "four hundred ninety-one billion, four hundred ten million, eight hundred fourteen thousand, forty-nine".

Divisors: 1 3 9 233669 701007 2103021 54601201561 163803604683 491410814049