Search a number
-
+
10854599545801 = 112325033708493
BaseRepresentation
bin1001110111110100100010…
…0011001101001111001001
31102102200121201001022010001
42131331020203031033021
52410320204440431201
635030311215123001
72200135044543514
oct235751043151711
942380551038101
1010854599545801
113505456512690
12127383b513461
13609779a6323b
14297518a03d7b
1513c5467cd301
hex9df488cd3c9

10854599545801 has 24 divisors (see below), whose sum is σ = 12403221356736. Its totient is φ = 9420014699040.

The previous prime is 10854599545793. The next prime is 10854599545819.

10854599545801 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10854599545801 - 23 = 10854599545793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10854599545891) 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 23 ways as a sum of consecutive naturals, for example, 1072711 + ... + 4781203.

It is an arithmetic number, because the mean of its divisors is an integer number (516800889864).

Almost surely, 210854599545801 is an apocalyptic number.

10854599545801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10854599545801 is a deficient number, since it is larger than the sum of its proper divisors (1548621810935).

10854599545801 is a wasteful number, since it uses less digits than its factorization.

10854599545801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709053 (or 3709030 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 64.

The spelling of 10854599545801 in words is "ten trillion, eight hundred fifty-four billion, five hundred ninety-nine million, five hundred forty-five thousand, eight hundred one".

Divisors: 1 11 23 253 503 529 5533 5819 11569 127259 266087 2926957 3708493 40793423 85295339 938248729 1865371979 1961792797 20519091769 21579720767 42903555517 471939110687 986781776891 10854599545801