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20145434472 = 2332279797701
BaseRepresentation
bin10010110000110000…
…101110111101101000
31220222222012002211200
4102300300232331220
5312224212400342
613131002324200
71312136240052
oct226060567550
956888162750
1020145434472
1185a86330a9
123aa27b9660
131b90868737
14d917428d2
157cd8e794c
hex4b0c2ef68

20145434472 has 24 divisors (see below), whose sum is σ = 54560551890. Its totient is φ = 6715144800.

The previous prime is 20145434471. The next prime is 20145434521. The reversal of 20145434472 is 27443454102.

20145434472 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 543 + 44 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18110161476 + 2035272996 = 134574^2 + 45114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20145434471) 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 5 ways as a sum of consecutive naturals, for example, 139898779 + ... + 139898922.

Almost surely, 220145434472 is an apocalyptic number.

It is an amenable number.

20145434472 is an abundant number, since it is smaller than the sum of its proper divisors (34415117418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20145434472 is a wasteful number, since it uses less digits than its factorization.

20145434472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279797713 (or 279797706 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 20145434472 its reverse (27443454102), we get a palindrome (47588888574).

The spelling of 20145434472 in words is "twenty billion, one hundred forty-five million, four hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 279797701 559595402 839393103 1119190804 1678786206 2238381608 2518179309 3357572412 5036358618 6715144824 10072717236 20145434472