Search a number
-
+
7156850688 = 213331319131
BaseRepresentation
bin1101010101001010…
…01110000000000000
3200110202212200111000
412222211032000000
5104124123210223
63142100052000
7342232140621
oct65245160000
920422780430
107156850688
113042945939
121478994000
138a09630c0
144bc709a48
152bd49d543
hex1aa94e000

7156850688 has 448 divisors, whose sum is σ = 24220627200. Its totient is φ = 2070282240.

The previous prime is 7156850651. The next prime is 7156850699. The reversal of 7156850688 is 8860586517.

7156850688 is a `hidden beast` number, since 7 + 1 + 56 + 8 + 506 + 88 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54632383 + ... + 54632513.

It is an arithmetic number, because the mean of its divisors is an integer number (54063900).

Almost surely, 27156850688 is an apocalyptic number.

7156850688 is a gapful number since it is divisible by the number (78) 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 7156850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110313600).

7156850688 is an abundant number, since it is smaller than the sum of its proper divisors (17063776512).

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

7156850688 is a wasteful number, since it uses less digits than its factorization.

7156850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 7156850688 is about 84598.1718951420. The cubic root of 7156850688 is about 1927.1136114773.

The spelling of 7156850688 in words is "seven billion, one hundred fifty-six million, eight hundred fifty thousand, six hundred eighty-eight".