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14992778025 = 36529072
BaseRepresentation
bin11011111011010001…
…11010001100101001
31102200212120001000000
431331220322030221
5221201122344100
610515415133213
71040351340051
oct157550721451
942625501000
1014992778025
1163a403a045
122aa5074209
13154c1baab4
14a232a4561
155cb389900
hex37da3a329

14992778025 has 63 divisors (see below), whose sum is σ = 27904581831. Its totient is φ = 7987332240.

The previous prime is 14992778011. The next prime is 14992778089. The reversal of 14992778025 is 52087729941.

The square root of 14992778025 is 122445.

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

14992778025 is a `hidden beast` number, since 1 + 499 + 2 + 77 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5397400089 + 9595377936 = 73467^2 + 97956^2 .

It is not a de Polignac number, because 14992778025 - 27 = 14992777897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16529622 + ... + 16530528.

Almost surely, 214992778025 is an apocalyptic number.

14992778025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14992778025 is the 122445-th square number.

14992778025 is the 61223-rd centered octagonal number.

It is an amenable number.

14992778025 is a deficient number, since it is larger than the sum of its proper divisors (12911803806).

14992778025 is an frugal number, since it uses more digits than its factorization.

14992778025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14992778025 in words is "fourteen billion, nine hundred ninety-two million, seven hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 907 1215 2025 2721 3645 4535 6075 8163 13605 18225 22675 24489 40815 68025 73467 122445 204075 220401 367335 612225 661203 822649 1102005 1836675 2467947 3306015 4113245 5510025 7403841 12339735 16530075 20566225 22211523 37019205 61698675 66634569 111057615 185096025 199903707 333172845 555288075 599711121 999518535 1665864225 2998555605 4997592675 14992778025