Search a number
-
+
16783461601 = 35323672
BaseRepresentation
bin11111010000101111…
…10100110011100001
31121022200001012001221
433220113310303201
5233333031232401
611413223455041
71132624032634
oct175027646341
947280035057
1016783461601
117132910125
1233048b7481
13177619848a
14b53033c1b
156836a27a1
hex3e85f4ce1

16783461601 has 9 divisors (see below), whose sum is σ = 16877127891. Its totient is φ = 16690314432.

The previous prime is 16783461589. The next prime is 16783461637. The reversal of 16783461601 is 10616438761.

The square root of 16783461601 is 129551.

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., 6818630625 + 9964830976 = 82575^2 + 99824^2 .

It is not a de Polignac number, because 16783461601 - 213 = 16783453409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16783467601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45731320 + ... + 45731686.

Almost surely, 216783461601 is an apocalyptic number.

16783461601 is the 129551-st square number.

16783461601 is the 64776-th centered octagonal number.

It is an amenable number.

16783461601 is a deficient number, since it is larger than the sum of its proper divisors (93666290).

16783461601 is an frugal number, since it uses more digits than its factorization.

16783461601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 16783461601 in words is "sixteen billion, seven hundred eighty-three million, four hundred sixty-one thousand, six hundred one".

Divisors: 1 353 367 124609 129551 134689 45731503 47545217 16783461601