Search a number
-
+
20258011540 = 22513480116229
BaseRepresentation
bin10010110111011110…
…001011100110010100
31221021211000121112201
4102313132023212110
5312442022332130
613150103254244
71315004154064
oct226736134624
957254017481
1020258011540
1186561349a8
123b1444a384
131baac93aa0
14da26893a4
157d8733bca
hex4b778b994

20258011540 has 48 divisors (see below), whose sum is σ = 45826638480. Its totient is φ = 7477862400.

The previous prime is 20258011531. The next prime is 20258011559. The reversal of 20258011540 is 4511085202.

It can be written as a sum of positive squares in 8 ways, for example, as 152473104 + 20105538436 = 12348^2 + 141794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20258011499 and 20258011508.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1240146 + ... + 1256374.

It is an arithmetic number, because the mean of its divisors is an integer number (954721635).

Almost surely, 220258011540 is an apocalyptic number.

20258011540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20258011540 is an abundant number, since it is smaller than the sum of its proper divisors (25568626940).

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

20258011540 is a wasteful number, since it uses less digits than its factorization.

20258011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052 (or 21050 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 20258011540 its reverse (4511085202), we get a palindrome (24769096742).

The spelling of 20258011540 in words is "twenty billion, two hundred fifty-eight million, eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4801 9602 16229 19204 24005 32458 48010 62413 64916 81145 96020 124826 162290 210977 249652 312065 324580 421954 624130 843908 1054885 1248260 2109770 4219540 77915429 155830858 311661716 389577145 779154290 1012900577 1558308580 2025801154 4051602308 5064502885 10129005770 20258011540