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5345005435 = 571128349057
BaseRepresentation
bin1001111101001011…
…00100111101111011
3111210111120102001021
410332211210331323
541421310133220
62242214003311
7246311540140
oct47645447573
914714512037
105345005435
1122a3130770
121052046537
13672486613
14389c2c3c7
152143a54aa
hex13e964f7b

5345005435 has 32 divisors (see below), whose sum is σ = 8025103872. Its totient is φ = 3320110080.

The previous prime is 5345005433. The next prime is 5345005441.

5345005435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5345005435 - 21 = 5345005433 is a prime.

It is a super-3 number, since 3×53450054353 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5345005435.

It is not an unprimeable number, because it can be changed into a prime (5345005433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84427 + ... + 133483.

It is an arithmetic number, because the mean of its divisors is an integer number (250784496).

Almost surely, 25345005435 is an apocalyptic number.

5345005435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5345005435 is a deficient number, since it is larger than the sum of its proper divisors (2680098437).

5345005435 is a wasteful number, since it uses less digits than its factorization.

5345005435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49363.

The product of its (nonzero) digits is 90000, while the sum is 34.

The square root of 5345005435 is about 73109.5440759960. The cubic root of 5345005435 is about 1748.4345657980.

It can be divided in two parts, 534500 and 5435, that added together give a palindrome (539935).

The spelling of 5345005435 in words is "five billion, three hundred forty-five million, five thousand, four hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 283 385 1415 1981 3113 9905 15565 21791 49057 108955 245285 343399 539627 1716995 2698135 3777389 13883131 18886945 69415655 97181917 152714441 485909585 763572205 1069001087 5345005435