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16931995129 = 722926412
BaseRepresentation
bin11111100010011100…
…11011110111111001
31121201000112110202201
433301032123313321
5234134042321004
611440051230201
71136406404200
oct176116336771
947630473681
1016931995129
1171a9740605
1233465a8361
13179aba2a3a
14b68a5a237
156917426a4
hex3f139bdf9

16931995129 has 27 divisors (see below), whose sum is σ = 20430882381. Its totient is φ = 13990824960.

The previous prime is 16931995117. The next prime is 16931995159. The reversal of 16931995129 is 92159913961.

The square root of 16931995129 is 130123.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3785079529 + 13146915600 = 61523^2 + 114660^2 .

It is not a de Polignac number, because 16931995129 - 229 = 16395124217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16931995129.

It is not an unprimeable number, because it can be changed into a prime (16931995109) 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 26 ways as a sum of consecutive naturals, for example, 26414649 + ... + 26415289.

Almost surely, 216931995129 is an apocalyptic number.

16931995129 is the 130123-rd square number.

16931995129 is the 65062-nd centered octagonal number.

It is an amenable number.

16931995129 is a deficient number, since it is larger than the sum of its proper divisors (3498887252).

16931995129 is an frugal number, since it uses more digits than its factorization.

16931995129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 55.

The spelling of 16931995129 in words is "sixteen billion, nine hundred thirty-one million, nine hundred ninety-five thousand, one hundred twenty-nine".

Divisors: 1 7 29 49 203 641 841 1421 4487 5887 18589 31409 41209 130123 410881 539081 910861 2876167 3773567 11915549 20133169 26414969 83408843 345550921 583861901 2418856447 16931995129