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2428750818025 = 527463612
BaseRepresentation
bin100011010101111100110…
…101000110101011101001
322121012000211011002210221
4203111330311012223221
5304243040202134100
65055430331010041
7340320465220000
oct43257465065351
98535024132727
102428750818025
11857033579314
1233285b899921
1314805151336c
14857a3207c37
154329d9ec01a
hex2357cd46ae9

2428750818025 has 45 divisors (see below), whose sum is σ = 3513936213573. Its totient is φ = 1665167313600.

The previous prime is 2428750818001. The next prime is 2428750818029. The reversal of 2428750818025 is 5208180578242.

It is a happy number.

The square root of 2428750818025 is 1558445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 381001266009 + 2047749552016 = 617253^2 + 1430996^2 .

It is not a de Polignac number, because 2428750818025 - 215 = 2428750785257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2428750818029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 381815845 + ... + 381822205.

Almost surely, 22428750818025 is an apocalyptic number.

2428750818025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2428750818025 is the 1558445-th square number.

2428750818025 is the 779223-rd centered octagonal number.

It is an amenable number.

2428750818025 is a deficient number, since it is larger than the sum of its proper divisors (1085185395548).

2428750818025 is an frugal number, since it uses more digits than its factorization.

2428750818025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 52.

The spelling of 2428750818025 in words is "two trillion, four hundred twenty-eight billion, seven hundred fifty million, eight hundred eighteen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 6361 8575 12005 31805 44527 60025 159025 222635 311689 1113175 1558445 2181823 7792225 10909115 15272761 40462321 54545575 76363805 202311605 283236247 381819025 1011558025 1416181235 1982653729 7080906175 9913268645 13878576103 49566343225 69392880515 97150032721 346964402575 485750163605 2428750818025