Search a number
-
+
3097864852992 = 293371319112893
BaseRepresentation
bin101101000101000111001…
…000100101011000000000
3101222011010112020220122000
4231011013020211120000
5401223411400243432
610331050042544000
7436545656532150
oct55050710453000
911864115226560
103097864852992
11a94884a48278
12420478808000
13196186b96b40
14a9d1a55c760
15558b12c257c
hex2d147225600

3097864852992 has 640 divisors, whose sum is σ = 11345993809920. Its totient is φ = 812678676480.

The previous prime is 3097864852969. The next prime is 3097864852993. The reversal of 3097864852992 is 2992584687903.

3097864852992 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 8 + 6 + 4 + 8 + 529 + 92 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3097864852992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3097864852993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240268498 + ... + 240281390.

It is an arithmetic number, because the mean of its divisors is an integer number (17728115328).

Almost surely, 23097864852992 is an apocalyptic number.

3097864852992 is a gapful number since it is divisible by the number (32) 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 3097864852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672996904960).

3097864852992 is an abundant number, since it is smaller than the sum of its proper divisors (8248128956928).

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

3097864852992 is a wasteful number, since it uses less digits than its factorization.

3097864852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 3097864852992 in words is "three trillion, ninety-seven billion, eight hundred sixty-four million, eight hundred fifty-two thousand, nine hundred ninety-two".