Search a number
-
+
6303421656020 = 225372151732
BaseRepresentation
bin101101110111010000100…
…1101010110101111010100
3211022121020021220201022002
41123232201031112233110
51311233401420443040
621223430230054432
71220256444015206
oct133564115265724
924277207821262
106303421656020
1120102a2216545
1285978b1aa418
13369544027628
1417b131538776
15ade76c2aa15
hex5bba1356bd4

6303421656020 has 54 divisors (see below), whose sum is σ = 13605513176682. Its totient is φ = 2453061879936.

The previous prime is 6303421655959. The next prime is 6303421656023. The reversal of 6303421656020 is 206561243036.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1448547045136 + 4854874610884 = 1203556^2 + 2203378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303421656023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415429154 + ... + 415444326.

Almost surely, 26303421656020 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 6303421656020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802756588341).

6303421656020 is an abundant number, since it is smaller than the sum of its proper divisors (7302091520662).

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

6303421656020 is an frugal number, since it uses more digits than its factorization.

6303421656020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30429 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 6303421656020 its reverse (206561243036), we get a palindrome (6509982899056).

The spelling of 6303421656020 in words is "six trillion, three hundred three billion, four hundred twenty-one million, six hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 15173 27380 30346 60692 75865 151730 303460 561401 1122802 2245604 2807005 5614010 11228020 20771837 41543674 83087348 103859185 207718370 230219929 415436740 460439858 920879716 1151099645 2302199290 4604398580 8518137373 17036274746 34072549492 42590686865 85181373730 170362747460 315171082801 630342165602 1260684331204 1575855414005 3151710828010 6303421656020