Search a number
-
+
2430365556320 = 25513289880383
BaseRepresentation
bin100011010111011101000…
…100110101111001100000
322121100012100120022022222
4203113131010311321200
5304304342040300240
65100254452250212
7340405503242552
oct43273504657140
98540170508288
102430365556320
11857791aa7079
12333030610968
1314824ac09600
14858b78574d2
154334565ceb5
hex235dd135e60

2430365556320 has 72 divisors (see below), whose sum is σ = 6217385682816. Its totient is φ = 897365733888.

The previous prime is 2430365556319. The next prime is 2430365556373. The reversal of 2430365556320 is 236555630342.

2430365556320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44913152 + ... + 44967231.

It is an arithmetic number, because the mean of its divisors is an integer number (86352578928).

Almost surely, 22430365556320 is an apocalyptic number.

2430365556320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430365556320 is an abundant number, since it is smaller than the sum of its proper divisors (3787020126496).

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

2430365556320 is a wasteful number, since it uses less digits than its factorization.

2430365556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89880424 (or 89880403 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 2430365556320 in words is "two trillion, four hundred thirty billion, three hundred sixty-five million, five hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 89880383 179760766 359521532 449401915 719043064 898803830 1168444979 1438086128 1797607660 2336889958 2876172256 3595215320 4673779916 5842224895 7190430640 9347559832 11684449790 14380861280 15189784727 18695119664 23368899580 30379569454 37390239328 46737799160 60759138908 75948923635 93475598320 121518277816 151897847270 186951196640 243036555632 303795694540 486073111264 607591389080 1215182778160 2430365556320