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5465005645 = 511191673773
BaseRepresentation
bin1010001011011110…
…10101111001001101
3112002212101001101111
411011233111321031
542143020140040
62302142012021
7252266532031
oct50557257115
915085331344
105465005645
1123549426a0
121086277011
136912b0668
1439bb481c1
1521ebaadea
hex145bd5e4d

5465005645 has 32 divisors (see below), whose sum is σ = 7211649024. Its totient is φ = 3942758400.

The previous prime is 5465005639. The next prime is 5465005649.

5465005645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5465005645 - 25 = 5465005613 is a prime.

It is a super-3 number, since 3×54650056453 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5465005598 and 5465005607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465005649) by changing a digit.

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, 7069479 + ... + 7070251.

It is an arithmetic number, because the mean of its divisors is an integer number (225364032).

Almost surely, 25465005645 is an apocalyptic number.

5465005645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5465005645 is a deficient number, since it is larger than the sum of its proper divisors (1746643379).

5465005645 is a wasteful number, since it uses less digits than its factorization.

5465005645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653.

The product of its (nonzero) digits is 360000, while the sum is 40.

The square root of 5465005645 is about 73925.6764933538. The cubic root of 5465005645 is about 1761.4224946291.

The spelling of 5465005645 in words is "five billion, four hundred sixty-five million, five thousand, six hundred forty-five".

Divisors: 1 5 11 55 191 673 773 955 2101 3365 3865 7403 8503 10505 37015 42515 128543 147643 520229 642715 738215 1413973 1624073 2601145 5722519 7069865 8120365 28612595 99363739 496818695 1093001129 5465005645