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2500660000 = 2554971289
BaseRepresentation
bin1001010100001101…
…0000101100100000
320110021102200122001
42111003100230200
520110132110000
61052045453344
7115653154636
oct22503205440
96407380561
102500660000
111073614963
12599571254
1330b100997
1419a183356
15e980b46a
hex950d0b20

2500660000 has 120 divisors (see below), whose sum is σ = 6220243260. Its totient is φ = 989184000.

The previous prime is 2500659991. The next prime is 2500660007. The reversal of 2500660000 is 660052.

It can be written as a sum of positive squares in 10 ways, for example, as 49617936 + 2451042064 = 7044^2 + 49508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2500660000.

It is not an unprimeable number, because it can be changed into a prime (2500660007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1939356 + ... + 1940644.

Almost surely, 22500660000 is an apocalyptic number.

2500660000 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 2500660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110121630).

2500660000 is an abundant number, since it is smaller than the sum of its proper divisors (3719583260).

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

2500660000 is an equidigital number, since it uses as much as digits as its factorization.

2500660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2500660000 is about 50006.5995644575. The cubic root of 2500660000 is about 1357.3282321639.

The spelling of 2500660000 in words is "two billion, five hundred million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 776 800 970 1000 1250 1289 1552 1940 2000 2425 2500 2578 3104 3880 4000 4850 5000 5156 6445 7760 9700 10000 10312 12125 12890 15520 19400 20000 20624 24250 25780 32225 38800 41248 48500 51560 60625 64450 77600 97000 103120 121250 125033 128900 161125 194000 206240 242500 250066 257800 322250 388000 485000 500132 515600 625165 644500 805625 970000 1000264 1031200 1250330 1289000 1611250 1940000 2000528 2500660 2578000 3125825 3222500 4001056 5001320 5156000 6251650 6445000 10002640 12503300 12890000 15629125 20005280 25006600 25780000 31258250 50013200 62516500 78145625 100026400 125033000 156291250 250066000 312582500 500132000 625165000 1250330000 2500660000