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454385194561 = 4144012
BaseRepresentation
bin1101001110010110111…
…01111101011001000001
31121102211212220111200001
412213023131331121001
524421040102211221
6544424111400001
744554042266364
oct6471335753101
91542755814601
10454385194561
11165781661a91
1274090823001
1333b04a5913c
1417dc70760db
15bc46250391
hex69cb77d641

454385194561 has 15 divisors (see below), whose sum is σ = 466909175215. Its totient is φ = 442197136000.

The previous prime is 454385194547. The next prime is 454385194567. The reversal of 454385194561 is 165491583454.

The square root of 454385194561 is 674081.

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

It can be written as a sum of positive squares in 7 ways, for example, as 403073884161 + 51311310400 = 634881^2 + 226520^2 .

It is a de Polignac number, because none of the positive numbers 2k-454385194561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454385194567) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1133129961 + ... + 1133130361.

Almost surely, 2454385194561 is an apocalyptic number.

454385194561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

454385194561 is the 674081-st square number.

454385194561 is the 337041-st centered octagonal number.

It is an amenable number.

454385194561 is a deficient number, since it is larger than the sum of its proper divisors (12523980654).

454385194561 is an frugal number, since it uses more digits than its factorization.

454385194561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 442 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 55.

The spelling of 454385194561 in words is "four hundred fifty-four billion, three hundred eighty-five million, one hundred ninety-four thousand, five hundred sixty-one".

Divisors: 1 41 401 1681 16441 68921 160801 674081 2825761 6592841 27637321 270306481 1133130161 11082565721 454385194561