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154159102161 = 3229245132
BaseRepresentation
bin1000111110010010011…
…0010011100011010001
3112201220121112210110100
42033210212103203101
510011204212232121
6154453020323013
714065130514351
oct2174446234321
9481817483410
10154159102161
115a418881169
1225a636a3469
13116ca138a5c
147665cbcb61
154023cd1026
hex23e49938d1

154159102161 has 27 divisors (see below), whose sum is σ = 230668566609. Its totient is φ = 99206860032.

The previous prime is 154159102147. The next prime is 154159102189. The reversal of 154159102161 is 161201951451.

It is a happy number.

The square root of 154159102161 is 392631.

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

154159102161 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 591 + 0 + 2 + 1 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70084620225 + 84074481936 = 264735^2 + 289956^2 .

It is not a de Polignac number, because 154159102161 - 25 = 154159102129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (154159102121) 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, 34156641 + ... + 34161153.

Almost surely, 2154159102161 is an apocalyptic number.

154159102161 is the 392631-st square number.

154159102161 is the 196316-th centered octagonal number.

It is an amenable number.

154159102161 is a deficient number, since it is larger than the sum of its proper divisors (76509464448).

154159102161 is an frugal number, since it uses more digits than its factorization.

154159102161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

Multiplying 154159102161 by its sum of digits (36), we get a square (5549727677796 = 23557862).

The spelling of 154159102161 in words is "one hundred fifty-four billion, one hundred fifty-nine million, one hundred two thousand, one hundred sixty-one".

Divisors: 1 3 9 29 87 261 841 2523 4513 7569 13539 40617 130877 392631 1177893 3795433 11386299 20367169 34158897 61101507 183304521 590647901 1771943703 5315831109 17128789129 51386367387 154159102161