Search a number
-
+
10206424220346 = 2324197211422677
BaseRepresentation
bin1001010010000101111001…
…0010100100001010111010
31100010201120020211010220200
42110201132102210022322
52314210224100022341
633412433324303030
72102250464305554
oct224413622441272
940121506733820
1010206424220346
11328557a434032
12118a0a69a1a76
135906003b50c3
14273dca4ca4d4
1512a75c399db6
hex9485e4a42ba

10206424220346 has 48 divisors (see below), whose sum is σ = 22655629295208. Its totient is φ = 3318818572800.

The previous prime is 10206424220339. The next prime is 10206424220383. The reversal of 10206424220346 is 64302242460201.

10206424220346 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 424 + 220 + 3 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3278942316225 + 6927481904121 = 1810785^2 + 2632011^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10206424220346.

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 23 ways as a sum of consecutive naturals, for example, 6462760 + ... + 7885436.

Almost surely, 210206424220346 is an apocalyptic number.

10206424220346 is an abundant number, since it is smaller than the sum of its proper divisors (12449205074862).

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

10206424220346 is a wasteful number, since it uses less digits than its factorization.

10206424220346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432447 (or 1432444 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10206424220346 its reverse (64302242460201), we get a palindrome (74508666680547).

The spelling of 10206424220346 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, two hundred twenty thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 9721 19442 29163 58326 87489 174978 398561 797122 1195683 1422677 2391366 2845354 3587049 4268031 7174098 8536062 12804093 25608186 58329757 116659514 174989271 349978542 524967813 1049935626 13829843117 27659686234 41489529351 82979058702 124468588053 248937176106 567023567797 1134047135594 1701070703391 3402141406782 5103212110173 10206424220346