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20344524435 = 3351019671543
BaseRepresentation
bin10010111100101000…
…001100111010010011
31221111211210220221000
4102330220030322103
5313131144240220
613202433433043
71320104414214
oct227450147223
957454726830
1020344524435
11869aa54364
123b3940b783
131bc2b94751
14dadd6940b
157e1122390
hex4bca0ce93

20344524435 has 64 divisors (see below), whose sum is σ = 36587612160. Its totient is φ = 10724918400.

The previous prime is 20344524413. The next prime is 20344524437. The reversal of 20344524435 is 53442544302.

20344524435 is a `hidden beast` number, since 203 + 4 + 4 + 5 + 2 + 443 + 5 = 666.

It is not a de Polignac number, because 20344524435 - 27 = 20344524307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20344524435.

It is not an unprimeable number, because it can be changed into a prime (20344524437) 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 63 ways as a sum of consecutive naturals, for example, 13184274 + ... + 13185816.

It is an arithmetic number, because the mean of its divisors is an integer number (571681440).

Almost surely, 220344524435 is an apocalyptic number.

20344524435 is a deficient number, since it is larger than the sum of its proper divisors (16243087725).

20344524435 is a wasteful number, since it uses less digits than its factorization.

20344524435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 20344524435 in words is "twenty billion, three hundred forty-four million, five hundred twenty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 505 909 967 1515 1543 2727 2901 4545 4629 4835 7715 8703 13635 13887 14505 23145 26109 41661 43515 69435 97667 130545 155843 208305 293001 467529 488335 779215 879003 1402587 1465005 1492081 2337645 2637009 4207761 4395015 4476243 7012935 7460405 13185045 13428729 21038805 22381215 40286187 67143645 150700181 201430935 452100543 753500905 1356301629 2260502715 4068904887 6781508145 20344524435