Search a number
-
+
20854425025280 = 2857311171929461
BaseRepresentation
bin1001011110111100011001…
…00110000111101100000000
32201211122220201212222210102
410233132030212013230000
510213134330301302110
6112204220211421532
74251453043634000
oct457361446075400
981748821788712
1020854425025280
116710348286870
1224098888b48a8
13b837439b5982
145215068a4000
1526271124b5a5
hex12f78c987b00

20854425025280 has 2304 divisors, whose sum is σ = 73430945280000. Its totient is φ = 5583745843200.

The previous prime is 20854425025219. The next prime is 20854425025289. The reversal of 20854425025280 is 8252052445802.

It is not an unprimeable number, because it can be changed into a prime (20854425025289) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45237364250 + ... + 45237364710.

It is an arithmetic number, because the mean of its divisors is an integer number (31871070000).

Almost surely, 220854425025280 is an apocalyptic number.

20854425025280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20854425025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36715472640000).

20854425025280 is an abundant number, since it is smaller than the sum of its proper divisors (52576520254720).

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

20854425025280 is a wasteful number, since it uses less digits than its factorization.

20854425025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 47.

The spelling of 20854425025280 in words is "twenty trillion, eight hundred fifty-four billion, four hundred twenty-five million, twenty-five thousand, two hundred eighty".