Search a number
-
+
7131080881008 = 2438743225683
BaseRepresentation
bin110011111000101010110…
…0010101111001101110000
3221020201120021202200000000
41213301111202233031300
51413313423201143013
623055550123430000
71334126555241150
oct147612542571560
927221507680000
107131080881008
1122aa302283367
12972074685300
133c95c5418706
141a92090a4760
15c57683bd973
hex67c558af370

7131080881008 has 360 divisors, whose sum is σ = 24235074534528. Its totient is φ = 1990060265088.

The previous prime is 7131080881007. The next prime is 7131080881027. The reversal of 7131080881008 is 8001880801317.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131080881007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31484935 + ... + 31710617.

Almost surely, 27131080881008 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 7131080881008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117537267264).

7131080881008 is an abundant number, since it is smaller than the sum of its proper divisors (17103993653520).

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

7131080881008 is an equidigital number, since it uses as much as digits as its factorization.

7131080881008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225765 (or 225738 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 7131080881008 in words is "seven trillion, one hundred thirty-one billion, eighty million, eight hundred eighty-one thousand, eight".