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2499007680625 = 5437217092
BaseRepresentation
bin100100010111011000011…
…101110001000001110001
322211220101010211111221011
4210113120131301001301
5311420431431240000
65152010035230521
7345355511543131
oct44273035610161
98756333744834
102499007680625
11883906761025
123443a8748441
13151869c33c01
1488d49da4ac1
154501194a2ba
hex245d8771071

2499007680625 has 45 divisors (see below), whose sum is σ = 3211319030997. Its totient is φ = 1944035352000.

The previous prime is 2499007680623. The next prime is 2499007680629. The reversal of 2499007680625 is 5260867009942.

The square root of 2499007680625 is 1580825.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2431082811249 + 67924869376 = 1559193^2 + 260624^2 .

It is not a de Polignac number, because 2499007680625 - 21 = 2499007680623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2499007680625.

It is not an unprimeable number, because it can be changed into a prime (2499007680623) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1462262271 + ... + 1462263979.

Almost surely, 22499007680625 is an apocalyptic number.

2499007680625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2499007680625 is the 1580825-th square number.

2499007680625 is the 790413-rd centered octagonal number.

It is an amenable number.

2499007680625 is a deficient number, since it is larger than the sum of its proper divisors (712311350372).

2499007680625 is an frugal number, since it uses more digits than its factorization.

2499007680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 2499007680625 in words is "two trillion, four hundred ninety-nine billion, seven million, six hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 925 1369 1709 4625 6845 8545 23125 34225 42725 63233 171125 213625 316165 855625 1068125 1580825 2339621 2920681 7904125 11698105 14603405 39520625 58490525 73017025 108065197 292452625 365085125 540325985 1462263125 1825425625 2701629925 3998412289 13508149625 19992061445 67540748125 99960307225 499801536125 2499007680625