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11315527188736 = 282102412
BaseRepresentation
bin1010010010101001100111…
…1110101000000100000000
31111001202100112201121201211
42210222121332220010000
52440343144430014421
640022140442135504
72245343212061551
oct244523176500400
944052315647654
1011315527188736
1136729851149a1
1213290371b1594
136410850832b4
142b1962930328
151495220b69e1
hexa4a99fa8100

11315527188736 has 27 divisors (see below), whose sum is σ = 22586960533053. Its totient is φ = 5657736683520.

The previous prime is 11315527188731. The next prime is 11315527188739. The reversal of 11315527188736 is 63788172551311.

It is a happy number.

The square root of 11315527188736 is 3363856.

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

It can be written as a sum of positive squares in only one way, i.e., 8016508846336 + 3299018342400 = 2831344^2 + 1816320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11315527188731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 53716576 + ... + 53926816.

Almost surely, 211315527188736 is an apocalyptic number.

11315527188736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11315527188736 is the 3363856-th square number.

It is an amenable number.

11315527188736 is a deficient number, since it is larger than the sum of its proper divisors (11271433344317).

11315527188736 is an frugal number, since it uses more digits than its factorization.

11315527188736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420498 (or 210243 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 58.

The spelling of 11315527188736 in words is "eleven trillion, three hundred fifteen billion, five hundred twenty-seven million, one hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 210241 420482 840964 1681928 3363856 6727712 13455424 26910848 53821696 44201278081 88402556162 176805112324 353610224648 707220449296 1414440898592 2828881797184 5657763594368 11315527188736