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180119604025 = 5217249932
BaseRepresentation
bin1010011110111111110…
…1110000101100111001
3122012220211210221010101
42213233331300230321
510422341104312100
6214425032115401
716004350241614
oct2475775605471
9565824727111
10180119604025
116a42a903489
122aaa9835b61
1313ca666016a
148a09a5117b
154a42e8186a
hex29eff70b39

180119604025 has 27 divisors (see below), whose sum is σ = 237306804231. Its totient is φ = 135592304640.

The previous prime is 180119604011. The next prime is 180119604103. The reversal of 180119604025 is 520406911081.

The square root of 180119604025 is 424405.

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

It can be written as a sum of positive squares in 13 ways, for example, as 90241962409 + 89877641616 = 300403^2 + 299796^2 .

It is a de Polignac number, because none of the positive numbers 2k-180119604025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36071929 + ... + 36076921.

Almost surely, 2180119604025 is an apocalyptic number.

180119604025 is the 424405-th square number.

180119604025 is the 212203-rd centered octagonal number.

It is an amenable number.

180119604025 is a deficient number, since it is larger than the sum of its proper divisors (57187200206).

180119604025 is an frugal number, since it uses more digits than its factorization.

180119604025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 180119604025 in words is "one hundred eighty billion, one hundred nineteen million, six hundred four thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4993 7225 24965 84881 124825 424405 1442977 2122025 7214885 24930049 36074425 124650245 423810833 623251225 2119054165 7204784161 10595270825 36023920805 180119604025