Search a number
-
+
350987522784921 = 341121892392
BaseRepresentation
bin100111111001110001010011…
…0100111011011111010011001
31201000202002010221110002010000
41033303202212213123322121
5332001034421313104141
63242253235250043213
7133634004004325001
oct11763424647337231
91630662127402100
10350987522784921
11a1920a77428100
1233447897279509
13120acc9b123909
146295c5b325001
152a89ece64c5b6
hex13f38a69dbe99

350987522784921 has 45 divisors (see below), whose sum is σ = 576315891493573. Its totient is φ = 212718586699080.

The previous prime is 350987522784853. The next prime is 350987522784931. The reversal of 350987522784921 is 129487225789053.

The square root of 350987522784921 is 18734661.

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

350987522784921 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 8 + 7 + 522 + 7 + 8 + 4 + 92 + 1 = 666.

It is not a de Polignac number, because 350987522784921 - 211 = 350987522782873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 350987522784921.

It is not an unprimeable number, because it can be changed into a prime (350987522784931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1854636820 + ... + 1854826058.

Almost surely, 2350987522784921 is an apocalyptic number.

350987522784921 is the 18734661-st square number.

350987522784921 is the 9367331-st centered octagonal number.

It is an amenable number.

350987522784921 is a deficient number, since it is larger than the sum of its proper divisors (225328368708652).

350987522784921 is an frugal number, since it uses more digits than its factorization.

350987522784921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378512 (or 189253 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 350987522784921 in words is "three hundred fifty trillion, nine hundred eighty-seven billion, five hundred twenty-two million, seven hundred eighty-four thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 189239 567717 1703151 2081629 5109453 6244887 15328359 18734661 22897919 56203983 68693757 168611949 206081271 618243813 1854731439 35811399121 107434197363 322302592089 393925390331 966907776267 1181776170993 2900723328801 3545328512979 4333179293641 10635985538937 12999537880923 31907956616811 38998613642769 116995840928307 350987522784921