Search a number
-
+
20410484640000 = 283547133773173
BaseRepresentation
bin1001010010000001011111…
…01011111100100100000000
32200021020000202201202212120
410221000233223330210000
510133401133031440000
6111224240332324240
74204415556626310
oct451005753744400
980236022652776
1020410484640000
11655a04652a674
122357832013680
13b50914b47170
14507c30a9b440
15255dcbe6e6a0
hex12902fafc900

20410484640000 has 2880 divisors, whose sum is σ = 87481155869184. Its totient is φ = 4108713984000.

The previous prime is 20410484639983. The next prime is 20410484640067. The reversal of 20410484640000 is 4648401402.

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 319 ways as a sum of consecutive naturals, for example, 117979679914 + ... + 117979680086.

Almost surely, 220410484640000 is an apocalyptic number.

20410484640000 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 20410484640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43740577934592).

20410484640000 is an abundant number, since it is smaller than the sum of its proper divisors (67070671229184).

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

20410484640000 is a wasteful number, since it uses less digits than its factorization.

20410484640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 20410484640000 in words is "twenty trillion, four hundred ten billion, four hundred eighty-four million, six hundred forty thousand".