Search a number
-
+
2868100798464 = 211321121578191
BaseRepresentation
bin101001101111001000001…
…000010001100000000000
3101011012001212122121002200
4221233020020101200000
5333442332301022324
610033330505513200
7414133132354026
oct51571010214000
911135055577080
102868100798464
11a0639a147400
123a3a351a2800
1317a5cb3440a5
149cb614d0716
154e914ccdec9
hex29bc8211800

2868100798464 has 432 divisors, whose sum is σ = 9164228935680. Its totient is φ = 863480217600.

The previous prime is 2868100798463. The next prime is 2868100798469. The reversal of 2868100798464 is 4648970018682.

2868100798464 is a `hidden beast` number, since 2 + 8 + 6 + 81 + 0 + 0 + 7 + 98 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868100798463) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 350148609 + ... + 350156799.

Almost surely, 22868100798464 is an apocalyptic number.

2868100798464 is a gapful number since it is divisible by the number (24) 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 2868100798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582114467840).

2868100798464 is an abundant number, since it is smaller than the sum of its proper divisors (6296128137216).

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

2868100798464 is a wasteful number, since it uses less digits than its factorization.

2868100798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2868100798464 in words is "two trillion, eight hundred sixty-eight billion, one hundred million, seven hundred ninety-eight thousand, four hundred sixty-four".