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2545562500 = 2256132241
BaseRepresentation
bin1001011110111010…
…0011001110000100
320120101220222021121
42113232203032010
520203131000000
61100332123324
7120036632005
oct22756431604
96511828247
102545562500
1110969a3868
125b0606544
133174c2b00
141a21111ac
15ed72ab1a
hex97ba3384

2545562500 has 126 divisors (see below), whose sum is σ = 6054649062. Its totient is φ = 936000000.

The previous prime is 2545562479. The next prime is 2545562501. The reversal of 2545562500 is 52655452.

2545562500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 21 ways, for example, as 572070724 + 1973491776 = 23918^2 + 44424^2 .

It is not an unprimeable number, because it can be changed into a prime (2545562501) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 10562380 + ... + 10562620.

Almost surely, 22545562500 is an apocalyptic number.

2545562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027324531).

2545562500 is an abundant number, since it is smaller than the sum of its proper divisors (3509086562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2545562500 is an equidigital number, since it uses as much as digits as its factorization.

2545562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The square root of 2545562500 is about 50453.5677628451. The cubic root of 2545562500 is about 1365.4042642354.

It can be divided in two parts, 25 and 45562500, that multiplied together give a square (1139062500 = 337502).

The spelling of 2545562500 in words is "two billion, five hundred forty-five million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 241 250 260 325 338 482 500 625 650 676 845 964 1205 1250 1300 1625 1690 2410 2500 3125 3133 3250 3380 4225 4820 6025 6250 6266 6500 8125 8450 12050 12500 12532 15625 15665 16250 16900 21125 24100 30125 31250 31330 32500 40625 40729 42250 60250 62500 62660 78325 81250 81458 84500 105625 120500 150625 156650 162500 162916 203125 203645 211250 301250 313300 391625 406250 407290 422500 528125 602500 753125 783250 812500 814580 1018225 1056250 1506250 1566500 1958125 2036450 2112500 2640625 3012500 3765625 3916250 4072900 5091125 5281250 7531250 7832500 9790625 10182250 10562500 15062500 19581250 20364500 25455625 39162500 48953125 50911250 97906250 101822500 127278125 195812500 254556250 509112500 636390625 1272781250 2545562500