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16961676169 = 1724721632
BaseRepresentation
bin11111100101111111…
…01010001110001001
31121210002101102111111
433302333222032021
5234214142114134
611443031330321
71140216603634
oct176277521611
947702342444
1016961676169
117214473399
1233545209a1
1317a4095799
14b6c984c1b
15694156c64
hex3f2fea389

16961676169 has 27 divisors (see below), whose sum is σ = 18523268967. Its totient is φ = 15528417984.

The previous prime is 16961676167. The next prime is 16961676187. The reversal of 16961676169 is 96167616961.

The square root of 16961676169 is 130237.

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., 13205457225 + 3756218944 = 114915^2 + 61288^2 .

It is not a de Polignac number, because 16961676169 - 21 = 16961676167 is a prime.

It is a super-2 number, since 2×169616761692 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16961676167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104059282 + ... + 104059444.

Almost surely, 216961676169 is an apocalyptic number.

16961676169 is the 130237-th square number.

16961676169 is the 65119-th centered octagonal number.

It is an amenable number.

16961676169 is a deficient number, since it is larger than the sum of its proper divisors (1561592798).

16961676169 is an frugal number, since it uses more digits than its factorization.

16961676169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 58.

The spelling of 16961676169 in words is "sixteen billion, nine hundred sixty-one million, six hundred seventy-six thousand, one hundred sixty-nine".

Divisors: 1 17 47 163 289 799 2209 2771 7661 13583 26569 37553 47107 130237 360067 451673 638401 1248743 2214029 6121139 7678441 21228631 58690921 104059363 360886727 997745657 16961676169