Search a number
-
+
468231322050 = 23252322572
BaseRepresentation
bin1101101000001001100…
…00101111100111000010
31122202120211211122211200
412310010300233213002
530132414204301200
6555034050122030
745554131366122
oct6640460574702
91582524748750
10468231322050
11170637413558
12768b5880316
133520051159b
141893bd36c82
15c2a6adb800
hex6d04c2f9c2

468231322050 has 54 divisors (see below), whose sum is σ = 1258020485163. Its totient is φ = 124857815040.

The previous prime is 468231322049. The next prime is 468231322057. The reversal of 468231322050 is 50223132864.

468231322050 is a `hidden beast` number, since 46 + 82 + 313 + 220 + 5 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 68335710921 + 399895611129 = 261411^2 + 632373^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=483855.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 468231321996 and 468231322014.

It is not an unprimeable number, because it can be changed into a prime (468231322057) 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, 14499522 + ... + 14531778.

Almost surely, 2468231322050 is an apocalyptic number.

468231322050 is an abundant number, since it is smaller than the sum of its proper divisors (789789163113).

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

468231322050 is an frugal number, since it uses more digits than its factorization.

468231322050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64532 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 468231322050 in words is "four hundred sixty-eight billion, two hundred thirty-one million, three hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 32257 64514 96771 161285 193542 290313 322570 483855 580626 806425 967710 1451565 1612850 2419275 2903130 4838550 7257825 14515650 1040514049 2081028098 3121542147 5202570245 6243084294 9364626441 10405140490 15607710735 18729252882 26012851225 31215421470 46823132205 52025702450 78038553675 93646264410 156077107350 234115661025 468231322050