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5318976400 = 245213297441
BaseRepresentation
bin1001111010000100…
…10010001110010000
3111201200120222220221
410331002102032100
541343124221100
62235444042424
7245544360553
oct47502221620
914650528827
105318976400
11228a472771
121045393414
13669c71c1a
143865b469a
15211e6301a
hex13d092390

5318976400 has 30 divisors (see below), whose sum is σ = 12778841762. Its totient is φ = 2127590400.

The previous prime is 5318976361. The next prime is 5318976401. The reversal of 5318976400 is 46798135.

It can be written as a sum of positive squares in 3 ways, for example, as 1381162896 + 3937813504 = 37164^2 + 62752^2 .

It is not an unprimeable number, because it can be changed into a prime (5318976401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6648321 + ... + 6649120.

Almost surely, 25318976400 is an apocalyptic number.

5318976400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5318976400 is an abundant number, since it is smaller than the sum of its proper divisors (7459865362).

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

5318976400 is a wasteful number, since it uses less digits than its factorization.

5318976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297459 (or 13297448 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 5318976400 is about 72931.3128909661. The cubic root of 5318976400 is about 1745.5917785553.

The spelling of 5318976400 in words is "five billion, three hundred eighteen million, nine hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13297441 26594882 53189764 66487205 106379528 132974410 212759056 265948820 332436025 531897640 664872050 1063795280 1329744100 2659488200 5318976400