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1665271526116 = 22112586572
BaseRepresentation
bin11000001110111001111…
…010101111001011100100
312220012100122011120002111
4120032321322233023210
5204240434002313431
63313003140050404
7231211660264402
oct30167172571344
95805318146074
101665271526116
115922683aa100
1222a8a8093a04
13c105a850443
145a857322472
152d4b6a257b1
hex183b9eaf2e4

1665271526116 has 27 divisors (see below), whose sum is σ = 3203293847817. Its totient is φ = 756928698240.

The previous prime is 1665271526111. The next prime is 1665271526141. The reversal of 1665271526116 is 6116251725661.

The square root of 1665271526116 is 1290454.

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., 1600503312100 + 64768214016 = 1265110^2 + 254496^2 .

It is a super-3 number, since 3×16652715261163 (a number of 38 digits) contains 333 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 1665271526116.

It is not an unprimeable number, because it can be changed into a prime (1665271526111) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 28360660 + ... + 28419316.

Almost surely, 21665271526116 is an apocalyptic number.

1665271526116 is the 1290454-th square number.

It is an amenable number.

1665271526116 is a deficient number, since it is larger than the sum of its proper divisors (1538022321701).

1665271526116 is an frugal number, since it uses more digits than its factorization.

1665271526116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117340 (or 58670 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

Multiplying 1665271526116 by its sum of digits (49), we get a square (81598304779684 = 90331782).

The spelling of 1665271526116 in words is "one trillion, six hundred sixty-five billion, two hundred seventy-one million, five hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 58657 117314 234628 645227 1290454 2580908 7097497 14194994 28389988 3440643649 6881287298 13762574596 37847080139 75694160278 151388320556 416317881529 832635763058 1665271526116