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16111478761 = 72181332
BaseRepresentation
bin11110000000101000…
…11010011111101001
31112120211120220220121
433000110122133221
5230444014310021
611222420523241
71110154211200
oct170024323751
945524526817
1016111478761
116918567504
123157850521
131699bb86b1
14acbab0237
156446b6741
hex3c051a7e9

16111478761 has 9 divisors (see below), whose sum is σ = 18742957911. Its totient is φ = 13809077352.

The previous prime is 16111478759. The next prime is 16111478767. The reversal of 16111478761 is 16787411161.

The square root of 16111478761 is 126931.

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

16111478761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6633288025 + 9478190736 = 81445^2 + 97356^2 .

It is not a de Polignac number, because 16111478761 - 21 = 16111478759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16111478767) 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 8 ways as a sum of consecutive naturals, for example, 879451 + ... + 897583.

It is an arithmetic number, because the mean of its divisors is an integer number (2082550879).

Almost surely, 216111478761 is an apocalyptic number.

16111478761 is the 126931-st square number.

16111478761 is the 63466-th centered octagonal number.

It is an amenable number.

16111478761 is a deficient number, since it is larger than the sum of its proper divisors (2631479150).

16111478761 is an frugal number, since it uses more digits than its factorization.

16111478761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36280 (or 18140 counting only the distinct ones).

The product of its digits is 56448, while the sum is 43.

The spelling of 16111478761 in words is "sixteen billion, one hundred eleven million, four hundred seventy-eight thousand, seven hundred sixty-one".

Divisors: 1 7 49 18133 126931 888517 328805689 2301639823 16111478761