Search a number
-
+
645092996539761 = 327211243225572
BaseRepresentation
bin1001001010101101010110101…
…0111001111110010101110001
310010121002021210002100000100100
42102223111222321332111301
51134023200424103233021
610203555344215543013
7252610300552534200
oct22253255271762561
93117067702300310
10645092996539761
11177601449009300
126042741738aa69
13218c5015a30163
14b54294bd73237
154e8a538a96626
hex24ab56ae7e571

645092996539761 has 243 divisors, whose sum is σ = 1220258376249003. Its totient is φ = 327191904325440.

The previous prime is 645092996539751. The next prime is 645092996539769. The reversal of 645092996539761 is 167935699290546.

The square root of 645092996539761 is 25398681.

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

645092996539761 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 9 + 2 + 9 + 9 + 6 + 539 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276815556950625 + 368277439589136 = 16637775^2 + 19190556^2 .

It is not a de Polignac number, because 645092996539761 - 219 = 645092996015473 is a prime.

It is a super-2 number, since 2×6450929965397612 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (645092996539769) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 252285097095 + ... + 252285099651.

Almost surely, 2645092996539761 is an apocalyptic number.

645092996539761 is the 25398681-st square number.

645092996539761 is the 12699341-st centered octagonal number.

It is an amenable number.

645092996539761 is a deficient number, since it is larger than the sum of its proper divisors (575165379709242).

645092996539761 is an equidigital number, since it uses as much as digits as its factorization.

645092996539761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 5952139200, while the sum is 81.

The spelling of 645092996539761 in words is "six hundred forty-five trillion, ninety-two billion, nine hundred ninety-six million, five hundred thirty-nine thousand, seven hundred sixty-one".