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1004098190209 = 612164272
BaseRepresentation
bin11101001110010001110…
…10100111101110000001
310112222202022220001120121
432213020322213232001
5112422343114041314
62045135404540241
7132354326536312
oct16471072475601
93488668801517
101004098190209
11357921284954
12142726551681
13738bc34906a
143685483a609
151b1bb434d24
hexe9c8ea7b81

1004098190209 has 9 divisors (see below), whose sum is σ = 1020890809731. Its totient is φ = 987577441320.

The previous prime is 1004098190203. The next prime is 1004098190213. The reversal of 1004098190209 is 9020918904001.

It is a happy number.

The square root of 1004098190209 is 1002047.

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., 32651405809 + 971446784400 = 180697^2 + 985620^2 .

It is a de Polignac number, because none of the positive numbers 2k-1004098190209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004098190203) 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, 61116654 + ... + 61133080.

Almost surely, 21004098190209 is an apocalyptic number.

1004098190209 is the 1002047-th square number.

1004098190209 is the 501024-th centered octagonal number.

It is an amenable number.

1004098190209 is a deficient number, since it is larger than the sum of its proper divisors (16792619522).

1004098190209 is an frugal number, since it uses more digits than its factorization.

1004098190209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32976 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 1004098190209 in words is "one trillion, four billion, ninety-eight million, one hundred ninety thousand, two hundred nine".

Divisors: 1 61 3721 16427 1002047 61124867 269846329 16460626069 1004098190209