Search a number
-
+
16545198241 = 1113624718521
BaseRepresentation
bin11110110100010101…
…11011000010100001
31120201001201011012001
433122022323002201
5232341032320431
611333433004001
71124001602365
oct173212730241
946631634161
1016545198241
117020373360
123258b53601
131738a04c40
14b2d5312a5
1566c7dae61
hex3da2bb0a1

16545198241 has 16 divisors (see below), whose sum is σ = 19441876608. Its totient is φ = 13881110400.

The previous prime is 16545198239. The next prime is 16545198253. The reversal of 16545198241 is 14289154561.

16545198241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 16545198241 - 21 = 16545198239 is a prime.

It is a super-3 number, since 3×165451982413 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16545198191 and 16545198200.

It is not an unprimeable number, because it can be changed into a prime (16545198211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884061 + ... + 902581.

It is an arithmetic number, because the mean of its divisors is an integer number (1215117288).

Almost surely, 216545198241 is an apocalyptic number.

16545198241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16545198241 is a deficient number, since it is larger than the sum of its proper divisors (2896678367).

16545198241 is a wasteful number, since it uses less digits than its factorization.

16545198241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24792.

The product of its digits is 345600, while the sum is 46.

The spelling of 16545198241 in words is "sixteen billion, five hundred forty-five million, one hundred ninety-eight thousand, two hundred forty-one".

Divisors: 1 11 13 143 6247 18521 68717 81211 203731 240773 893321 2648503 115700687 1272707557 1504108931 16545198241