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11384719515625 = 56269932
BaseRepresentation
bin1010010110101011011000…
…1010011001111111101001
31111022100221200022000101111
42211222312022121333221
52443011401144000000
640114022401550321
72253342651126241
oct245526612317751
944270850260344
1011384719515625
11369a261405225
12133a5276453a1
1364776108c361
142b5048180b21
1514b221836cba
hexa5ab6299fe9

11384719515625 has 21 divisors (see below), whose sum is σ = 14231244458833. Its totient is φ = 9107438200000.

The previous prime is 11384719515569. The next prime is 11384719515643. The reversal of 11384719515625 is 52651591748311.

It is a happy number.

The square root of 11384719515625 is 3374125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 3370407641689 + 8014311873936 = 1835867^2 + 2830956^2 .

It is not a de Polignac number, because 11384719515625 - 225 = 11384685961193 is a prime.

It is a super-2 number, since 2×113847195156252 (a number of 27 digits) contains 22 as substring.

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 11384719515625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 421752129 + ... + 421779121.

Almost surely, 211384719515625 is an apocalyptic number.

11384719515625 is the 3374125-th square number.

11384719515625 is the 1687063-rd centered octagonal number.

It is an amenable number.

11384719515625 is a deficient number, since it is larger than the sum of its proper divisors (2846524943208).

11384719515625 is an frugal number, since it uses more digits than its factorization.

11384719515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54016 (or 26998 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 58.

The spelling of 11384719515625 in words is "eleven trillion, three hundred eighty-four billion, seven hundred nineteen million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 15625 26993 134965 674825 3374125 16870625 84353125 421765625 728622049 3643110245 18215551225 91077756125 455388780625 2276943903125 11384719515625