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16124682289 = 23255212
BaseRepresentation
bin11110000010001101…
…10010000000110001
31112121202102201202011
433001012302000301
5231010404313124
611224011522521
71110404352352
oct170106620061
945552381664
1016124682289
116924a65511
123160159441
13169c85c431
14acd749d29
15645923994
hex3c11b2031

16124682289 has 9 divisors (see below), whose sum is σ = 16859290539. Its totient is φ = 15420815520.

The previous prime is 16124682281. The next prime is 16124682293. The reversal of 16124682289 is 98228642161.

The square root of 16124682289 is 126983.

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., 4538312689 + 11586369600 = 67367^2 + 107640^2 .

It is not a de Polignac number, because 16124682289 - 23 = 16124682281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16124682281) 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 8 ways as a sum of consecutive naturals, for example, 2917849 + ... + 2923369.

Almost surely, 216124682289 is an apocalyptic number.

16124682289 is the 126983-rd square number.

16124682289 is the 63492-nd centered octagonal number.

It is an amenable number.

16124682289 is a deficient number, since it is larger than the sum of its proper divisors (734608250).

16124682289 is an frugal number, since it uses more digits than its factorization.

16124682289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11088 (or 5544 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

Multiplying 16124682289 by its sum of digits (49), we get a square (790109432161 = 8888812).

The spelling of 16124682289 in words is "sixteen billion, one hundred twenty-four million, six hundred eighty-two thousand, two hundred eighty-nine".

Divisors: 1 23 529 5521 126983 2920609 30481441 701073143 16124682289