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16434533543461 = 115987946326371
BaseRepresentation
bin1110111100100111011010…
…0010001010111000100101
32011012010101220021221120121
43233021312202022320211
54123230411041342321
654541530454001541
73314233030133305
oct357116642127045
964163356257517
1016434533543461
115266934813130
121a151580462b1
13922a0150b027
1440b615687605
151d7777415441
hexef27688ae25

16434533543461 has 16 divisors (see below), whose sum is σ = 17934151592448. Its totient is φ = 14935844588400.

The previous prime is 16434533543453. The next prime is 16434533543501.

16434533543461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16434533543461 - 23 = 16434533543453 is a prime.

It is a super-2 number, since 2×164345335434612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16434533543399 and 16434533543408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434533543161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623191606 + ... + 623217976.

It is an arithmetic number, because the mean of its divisors is an integer number (1120884474528).

Almost surely, 216434533543461 is an apocalyptic number.

16434533543461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16434533543461 is a deficient number, since it is larger than the sum of its proper divisors (1499618048987).

16434533543461 is a wasteful number, since it uses less digits than its factorization.

16434533543461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41832.

The product of its digits is 18662400, while the sum is 52.

The spelling of 16434533543461 in words is "sixteen trillion, four hundred thirty-four billion, five hundred thirty-three million, five hundred forty-three thousand, four hundred sixty-one".

Divisors: 1 11 5987 9463 26371 65857 104093 290081 56654981 157883177 249548773 623204791 1736714947 2745036503 1494048503951 16434533543461