Search a number
-
+
466474620320010 = 233597127391398161
BaseRepresentation
bin110101000010000011001011…
…0000010100111100100001010
32021011122112112100001120102000
41222010012112002213210022
5442120210010300220020
64332035252053051430
7200153451643506531
oct15204062602474412
92234575470046360
10466474620320010
111256a6859225405
1244399aa6626b76
13170394a24c4c73
1483296c6415318
1538de11e5cc090
hex1a841960a790a

466474620320010 has 128 divisors (see below), whose sum is σ = 1256855918572800. Its totient is φ = 123101075496960.

The previous prime is 466474620319937. The next prime is 466474620320021. The reversal of 466474620320010 is 10023026474664.

466474620320010 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 7 + 4 + 620 + 3 + 2 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 332935330 + ... + 334333490.

It is an arithmetic number, because the mean of its divisors is an integer number (9819186863850).

Almost surely, 2466474620320010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466474620320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628427959286400).

466474620320010 is an abundant number, since it is smaller than the sum of its proper divisors (790381298252790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466474620320010 is a wasteful number, since it uses less digits than its factorization.

466474620320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411013 (or 1411007 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 466474620320010 its reverse (10023026474664), we get a palindrome (476497646794674).

The spelling of 466474620320010 in words is "four hundred sixty-six trillion, four hundred seventy-four billion, six hundred twenty million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 4365 5238 8730 12739 13095 25478 26190 38217 63695 76434 114651 127390 191085 229302 343953 382170 573255 687906 1146510 1235683 1398161 1719765 2471366 2796322 3439530 3707049 4194483 6178415 6990805 7414098 8388966 11121147 12356830 12583449 13981610 18535245 20972415 22242294 25166898 33363441 37070490 37750347 41944830 55605735 62917245 66726882 75500694 111211470 125834490 135621617 166817205 188751735 271243234 333634410 377503470 406864851 678108085 813729702 1220594553 1356216170 2034324255 2441189106 3661783659 4068648510 6102972765 7323567318 12205945530 17811172979 18308918295 35622345958 36617836590 53433518937 89055864895 106867037874 160300556811 178111729790 267167594685 320601113622 480901670433 534335189370 801502784055 961803340866 1603005568110 1727683778963 2404508352165 3455367557926 4809016704330 5183051336889 8638418894815 10366102673778 15549154010667 17276837789630 25915256684445 31098308021334 46647462032001 51830513368890 77745770053335 93294924064002 155491540106670 233237310160005 466474620320010