Search a number
-
+
2020352782848 = 293171915792579
BaseRepresentation
bin11101011001100110011…
…010001111001000000000
321011010212212012100022020
4131121212122033020000
5231100140303022343
64144045351441440
7265652140206261
oct35314632171000
97133785170266
102020352782848
11709910525884
12287684086280
1311869805aa4a
146dadd968968
1537849bd1b83
hex1d66668f200

2020352782848 has 320 divisors, whose sum is σ = 6005026368000. Its totient is φ = 599863394304.

The previous prime is 2020352782841. The next prime is 2020352782897. The reversal of 2020352782848 is 8482872530202.

It is a super-2 number, since 2×20203527828482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2020352782848.

It is not an unprimeable number, because it can be changed into a prime (2020352782841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783384823 + ... + 783387401.

It is an arithmetic number, because the mean of its divisors is an integer number (18765707400).

Almost surely, 22020352782848 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 2020352782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002513184000).

2020352782848 is an abundant number, since it is smaller than the sum of its proper divisors (3984673585152).

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

2020352782848 is a wasteful number, since it uses less digits than its factorization.

2020352782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 2020352782848 in words is "two trillion, twenty billion, three hundred fifty-two million, seven hundred eighty-two thousand, eight hundred forty-eight".