Search a number
-
+
20506030344 = 2332284805977
BaseRepresentation
bin10011000110010000…
…010011000100001000
31221221002201021101100
4103012100103010020
5313444020432334
613230443221400
71324105245012
oct230620230410
957832637340
1020506030344
118773135118
123b83517860
131c1a491787
14dc75ab1b2
158003c5c99
hex4c6413108

20506030344 has 24 divisors (see below), whose sum is σ = 55537165710. Its totient is φ = 6835343424.

The previous prime is 20506030283. The next prime is 20506030399. The reversal of 20506030344 is 44303060502.

20506030344 is a `hidden beast` number, since 2 + 0 + 50 + 603 + 0 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11122233444 + 9383796900 = 105462^2 + 96870^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142402917 + ... + 142403060.

Almost surely, 220506030344 is an apocalyptic number.

20506030344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20506030344 is an abundant number, since it is smaller than the sum of its proper divisors (35031135366).

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

20506030344 is a wasteful number, since it uses less digits than its factorization.

20506030344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284805989 (or 284805982 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20506030344 its reverse (44303060502), we get a palindrome (64809090846).

The spelling of 20506030344 in words is "twenty billion, five hundred six million, thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 284805977 569611954 854417931 1139223908 1708835862 2278447816 2563253793 3417671724 5126507586 6835343448 10253015172 20506030344