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494516146322961 = 3276216112
BaseRepresentation
bin111000001110000101000001…
…1001111001011111000010001
32101211221021121111101222221100
41300130022003033023320101
51004304123031424313321
64511425325325415013
7206106420051000000
oct16034120317137021
92354837544358840
10494516146322961
11133628135654284
1247568660a0a469
13182c189864a219
148a189d0030c37
153c28776d44326
hex1c1c2833cbe11

494516146322961 has 63 divisors (see below), whose sum is σ = 833388834886153. Its totient is φ = 282567579262920.

The previous prime is 494516146322953. The next prime is 494516146323013. The reversal of 494516146322961 is 169223641615494.

The square root of 494516146322961 is 22237719.

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

494516146322961 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 1 + 61 + 463 + 22 + 96 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 494516146322961 - 23 = 494516146322953 is a prime.

It is a super-2 number, since 2×4945161463229612 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (494516146322941) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22882602046 + ... + 22882623656.

Almost surely, 2494516146322961 is an apocalyptic number.

494516146322961 is the 22237719-th square number.

494516146322961 is the 11118860-th centered octagonal number.

It is an amenable number.

494516146322961 is a deficient number, since it is larger than the sum of its proper divisors (338872688563192).

494516146322961 is an frugal number, since it uses more digits than its factorization.

494516146322961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43270 (or 21621 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 494516146322961 in words is "four hundred ninety-four trillion, five hundred sixteen billion, one hundred forty-six million, three hundred twenty-two thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 16807 21609 21611 50421 64833 117649 151263 151277 194499 352947 453831 1058841 1058939 1361493 3176817 7412573 9530451 22237719 51888011 66713157 155664033 363216077 466992099 467035321 1089648231 1401105963 2542512539 3268944693 3269247247 4203317889 7627537617 9807741741 22882612851 22884730729 29423225223 68654192187 160193115103 205962576561 480579345309 1121351805721 1441738035927 3364055417163 7849462640047 10092166251489 23548387920141 54946238480329 70645163760423 164838715440987 494516146322961