Search a number
-
+
2836412252160 = 21435291492671
BaseRepresentation
bin101001010001100111010…
…110000100000000000000
3101001011021110001122122120
4221101213112010000000
5332432433014032120
610011010234204240
7411631640225454
oct51214726040000
911034243048576
102836412252160
119a3a08853563
12399870883680
1317761b1b2b86
149b3d6b02664
154dbacd15140
hex29467584000

2836412252160 has 480 divisors, whose sum is σ = 9455769792000. Its totient is φ = 725121761280.

The previous prime is 2836412252153. The next prime is 2836412252227. The reversal of 2836412252160 is 612522146382.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061927625 + ... + 1061930295.

It is an arithmetic number, because the mean of its divisors is an integer number (19699520400).

Almost surely, 22836412252160 is an apocalyptic number.

2836412252160 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 2836412252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727884896000).

2836412252160 is an abundant number, since it is smaller than the sum of its proper divisors (6619357539840).

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

2836412252160 is a wasteful number, since it uses less digits than its factorization.

2836412252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2836412252160 in words is "two trillion, eight hundred thirty-six billion, four hundred twelve million, two hundred fifty-two thousand, one hundred sixty".