Search a number
-
+
6068982367872 = 273317412519471
BaseRepresentation
bin101100001010000101110…
…0010011100011010000000
3210111012002211000220221000
41120110023202130122000
51243413233441232442
620524015122332000
71164320016652254
oct130241342343200
923435084026830
106068982367872
111a2a928368436
12820261aba000
133503c1a05858
1416da515c8264
15a7d05082d4c
hex5850b89c680

6068982367872 has 256 divisors, whose sum is σ = 19428152486400. Its totient is φ = 1857554841600.

The previous prime is 6068982367859. The next prime is 6068982367873. The reversal of 6068982367872 is 2787632898606.

It is a happy number.

6068982367872 is a `hidden beast` number, since 60 + 68 + 9 + 82 + 367 + 8 + 72 = 666.

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 6068982367872.

It is not an unprimeable number, because it can be changed into a prime (6068982367873) 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, 1149097 + ... + 3668567.

It is an arithmetic number, because the mean of its divisors is an integer number (75891220650).

Almost surely, 26068982367872 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 6068982367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9714076243200).

6068982367872 is an abundant number, since it is smaller than the sum of its proper divisors (13359170118528).

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

6068982367872 is a wasteful number, since it uses less digits than its factorization.

6068982367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519552 (or 2519534 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 6068982367872 in words is "six trillion, sixty-eight billion, nine hundred eighty-two million, three hundred sixty-seven thousand, eight hundred seventy-two".