Search a number
-
+
5461111645 = 511418927211
BaseRepresentation
bin1010001011000000…
…11111001101011101
3112002121001012211021
411011200133031131
542141021033040
62301522324141
7252221453203
oct50540371535
915077035737
105461111645
112352723010
121084ab9651
13690549112
1439b413073
1521e68c24a
hex14581f35d

5461111645 has 32 divisors (see below), whose sum is σ = 7406017920. Its totient is φ = 3831168000.

The previous prime is 5461111631. The next prime is 5461111661.

5461111645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461111645 - 27 = 5461111517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5461111645.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187090 + ... + 214300.

It is an arithmetic number, because the mean of its divisors is an integer number (231438060).

Almost surely, 25461111645 is an apocalyptic number.

5461111645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5461111645 is a deficient number, since it is larger than the sum of its proper divisors (1944906275).

5461111645 is a wasteful number, since it uses less digits than its factorization.

5461111645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27357.

The product of its digits is 14400, while the sum is 34.

The square root of 5461111645 is about 73899.3345369226. The cubic root of 5461111645 is about 1761.0040376705.

The spelling of 5461111645 in words is "five billion, four hundred sixty-one million, one hundred eleven thousand, six hundred forty-five".

Divisors: 1 5 11 41 55 89 205 445 451 979 2255 3649 4895 18245 27211 40139 136055 200695 299321 1115651 1496605 2421779 5578255 12108895 12272161 26639569 61360805 99292939 133197845 496464695 1092222329 5461111645