Search a number
-
+
20310300416 = 28713782729
BaseRepresentation
bin10010111010100101…
…101001011100000000
31221102110102011101202
4102322211221130000
5313043414103131
613155212120332
71316210463560
oct227245513400
957373364352
1020310300416
1186826a934a
123b29a660a8
131bb8a70c53
14da95bada0
157dd111bcb
hex4ba969700

20310300416 has 72 divisors (see below), whose sum is σ = 46671633120. Its totient is φ = 8640774144.

The previous prime is 20310300359. The next prime is 20310300431. The reversal of 20310300416 is 61400301302.

It is a super-3 number, since 3×203103004163 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204140 + ... + 286868.

Almost surely, 220310300416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335816560).

20310300416 is an abundant number, since it is smaller than the sum of its proper divisors (26361332704).

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

20310300416 is an equidigital number, since it uses as much as digits as its factorization.

20310300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82889 (or 82875 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20310300416 its reverse (61400301302), we get a palindrome (81710601718).

The spelling of 20310300416 in words is "twenty billion, three hundred ten million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 548 896 959 1096 1792 1918 2192 3836 4384 7672 8768 15344 17536 30688 35072 61376 82729 122752 165458 245504 330916 579103 661832 1158206 1323664 2316412 2647328 4632824 5294656 9265648 10589312 11333873 18531296 21178624 22667746 37062592 45335492 74125184 79337111 90670984 148250368 158674222 181341968 317348444 362683936 634696888 725367872 1269393776 1450735744 2538787552 2901471488 5077575104 10155150208 20310300416