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10219894678449 = 32277238472
BaseRepresentation
bin1001010010111000000100…
…1100010010001110110001
31100012000100000212022120100
42110232001030102032301
52314420321014202244
633422542123103013
72103235342310301
oct224560114221661
940160300768510
1010219894678449
113290262128635
121190826071a69
13591969097581
1427490751b601
1512ac99c7bb69
hex94b813123b1

10219894678449 has 27 divisors (see below), whose sum is σ = 14819407353387. Its totient is φ = 6786901836144.

The previous prime is 10219894678421. The next prime is 10219894678463. The reversal of 10219894678449 is 94487649891201.

The square root of 10219894678449 is 3196857.

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

10219894678449 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 9 + 89 + 467 + 84 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1761499656225 + 8458395022224 = 1327215^2 + 2908332^2 .

It is not a de Polignac number, because 10219894678449 - 241 = 8020871422897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10219894670449) 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, 2656586244 + ... + 2656590090.

Almost surely, 210219894678449 is an apocalyptic number.

10219894678449 is the 3196857-th square number.

10219894678449 is the 1598429-th centered octagonal number.

It is an amenable number.

10219894678449 is a deficient number, since it is larger than the sum of its proper divisors (4599512674938).

10219894678449 is an frugal number, since it uses more digits than its factorization.

10219894678449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 10219894678449 in words is "ten trillion, two hundred nineteen billion, eight hundred ninety-four million, six hundred seventy-eight thousand, four hundred forty-nine".

Divisors: 1 3 9 277 831 2493 3847 11541 34623 76729 230187 690561 1065619 3196857 9590571 14799409 44398227 133194681 295176463 885529389 2656588167 4099436293 12298308879 36894926637 1135543853161 3406631559483 10219894678449