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246145969161 = 3259228032
BaseRepresentation
bin1110010100111101110…
…0010110110000001001
3212112100100001210201100
43211033130112300021
513013101332003121
6305024454212013
723532504134151
oct3451734266011
9775310053640
10246145969161
1195431a898a4
123b855954009
131a299787781
14bcb0a17761
1566097c9026
hex394f716c09

246145969161 has 27 divisors (see below), whose sum is σ = 361801565229. Its totient is φ = 161258451192.

The previous prime is 246145969159. The next prime is 246145969213. The reversal of 246145969161 is 161969541642.

The square root of 246145969161 is 496131.

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

246145969161 is a `hidden beast` number, since 2 + 4 + 614 + 5 + 9 + 6 + 9 + 16 + 1 = 666.

246145969161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 246145969161 - 21 = 246145969159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 246145969098 and 246145969107.

It is not an unprimeable number, because it can be changed into a prime (246145969141) 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 26 ways as a sum of consecutive naturals, for example, 87813786 + ... + 87816588.

Almost surely, 2246145969161 is an apocalyptic number.

246145969161 is the 496131-st square number.

246145969161 is the 248066-th centered octagonal number.

It is an amenable number.

246145969161 is a deficient number, since it is larger than the sum of its proper divisors (115655596068).

246145969161 is an frugal number, since it uses more digits than its factorization.

246145969161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 2865 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 246145969161 in words is "two hundred forty-six billion, one hundred forty-five million, nine hundred sixty-nine thousand, one hundred sixty-one".

Divisors: 1 3 9 59 177 531 2803 3481 8409 10443 25227 31329 165377 496131 1488393 7856809 9757243 23570427 29271729 70711281 87815187 463551731 1390655193 4171965579 27349552129 82048656387 246145969161