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2442812702500 = 2254312592
BaseRepresentation
bin100011100011000010111…
…110111011111100100100
322122112022211001211221001
4203203002332323330210
5310010340022440000
65110113534003044
7341326114241512
oct43430276737444
98575284054831
102442812702500
11861a9a0a5245
12335525046484
131494828abb71
14863389cd4b2
15438232a646a
hex238c2fbbf24

2442812702500 has 45 divisors (see below), whose sum is σ = 5342113716247. Its totient is φ = 977093822000.

The previous prime is 2442812702489. The next prime is 2442812702513. The reversal of 2442812702500 is 52072182442.

The square root of 2442812702500 is 1562950.

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

It can be written as a sum of positive squares in 2 ways, for example, as 191516515876 + 2251296186624 = 437626^2 + 1500432^2 .

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 2442812702500.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 78131871 + ... + 78163129.

Almost surely, 22442812702500 is an apocalyptic number.

2442812702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2442812702500 is the 1562950-th square number.

It is an amenable number.

2442812702500 is an abundant number, since it is smaller than the sum of its proper divisors (2899301013747).

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

2442812702500 is an frugal number, since it uses more digits than its factorization.

2442812702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62542 (or 31266 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

Adding to 2442812702500 its reverse (52072182442), we get a palindrome (2494884884942).

The spelling of 2442812702500 in words is "two trillion, four hundred forty-two billion, eight hundred twelve million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 31259 62518 125036 156295 312590 625180 781475 1562950 3125900 3907375 7814750 15629500 19536875 39073750 78147500 977125081 1954250162 3908500324 4885625405 9771250810 19542501620 24428127025 48856254050 97712508100 122140635125 244281270250 488562540500 610703175625 1221406351250 2442812702500