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5235012500 = 2255735737
BaseRepresentation
bin1001110000000011…
…11111001110010100
3111111211121012002212
410320001333032110
541210130400000
62223244252552
7243504605054
oct47001771624
914454535085
105235012500
112247034413
121021241158
13655754543
14379399564
152098c9c35
hex13807f394

5235012500 has 72 divisors (see below), whose sum is σ = 11609741304. Its totient is φ = 2064960000.

The previous prime is 5235012491. The next prime is 5235012509. The reversal of 5235012500 is 52105325.

It is an interprime number because it is at equal distance from previous prime (5235012491) and next prime (5235012509).

It can be written as a sum of positive squares in 12 ways, for example, as 4851401104 + 383611396 = 69652^2 + 19586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235012509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909632 + ... + 915368.

It is an arithmetic number, because the mean of its divisors is an integer number (161246407).

Almost surely, 25235012500 is an apocalyptic number.

5235012500 is a gapful number since it is divisible by the number (50) 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 5235012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804870652).

5235012500 is an abundant number, since it is smaller than the sum of its proper divisors (6374728804).

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

5235012500 is an equidigital number, since it uses as much as digits as its factorization.

5235012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5235012500 is about 72353.3862372730. The cubic root of 5235012500 is about 1736.3578747318.

Adding to 5235012500 its reverse (52105325), we get a palindrome (5287117825).

The spelling of 5235012500 in words is "five billion, two hundred thirty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 625 730 1250 1460 1825 2500 3125 3650 5737 6250 7300 9125 11474 12500 18250 22948 28685 36500 45625 57370 91250 114740 143425 182500 228125 286850 418801 456250 573700 717125 837602 912500 1434250 1675204 2094005 2868500 3585625 4188010 7171250 8376020 10470025 14342500 17928125 20940050 35856250 41880100 52350125 71712500 104700250 209400500 261750625 523501250 1047002500 1308753125 2617506250 5235012500