Search a number
-
+
16412220463146 = 23137271409180137
BaseRepresentation
bin1110111011010100010010…
…0100100001100000101010
32011002222210212022000122120
43232311010210201200222
54122344211414310041
654523400415132110
73312513060106104
oct356650444414052
964088725260576
1016412220463146
115258424649692
121a1096b514036
1392088685b621
1440a4da0ca574
151d6dbd592366
hexeed4492182a

16412220463146 has 64 divisors (see below), whose sum is σ = 33267367042560. Its totient is φ = 5397508638720.

The previous prime is 16412220463117. The next prime is 16412220463153. The reversal of 16412220463146 is 64136402221461.

It is a super-3 number, since 3×164122204631463 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16412220463098 and 16412220463107.

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 31 ways as a sum of consecutive naturals, for example, 91019590 + ... + 91199726.

It is an arithmetic number, because the mean of its divisors is an integer number (519802610040).

Almost surely, 216412220463146 is an apocalyptic number.

16412220463146 is an abundant number, since it is smaller than the sum of its proper divisors (16855146579414).

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

16412220463146 is a wasteful number, since it uses less digits than its factorization.

16412220463146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180959.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 16412220463146 in words is "sixteen trillion, four hundred twelve billion, two hundred twenty million, four hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 137 271 274 409 411 542 813 818 822 1227 1626 2454 37127 56033 74254 110839 111381 112066 168099 180137 221678 222762 332517 336198 360274 540411 665034 1080822 15184943 24678769 30369886 45554829 48817127 49357538 73676033 74036307 91109658 97634254 146451381 147352066 148072614 221028099 292902762 442056198 6687946399 10093616521 13375892798 19966204943 20063839197 20187233042 30280849563 39932409886 40127678394 59898614829 60561699126 119797229658 2735370077191 5470740154382 8206110231573 16412220463146