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6975150000 = 24355721373
BaseRepresentation
bin1100111111100000…
…00101011110110000
3200000002222022222220
412133300011132300
5103241114300000
63112045401040
7334564540200
oct63760053660
920002868886
106975150000
112a5a321485
121427b69180
138721150c0
144a252c400
152ac55b1a0
hex19fc057b0

6975150000 has 720 divisors, whose sum is σ = 28601481888. Its totient is φ = 1451520000.

The previous prime is 6975149941. The next prime is 6975150001. The reversal of 6975150000 is 515796.

It is not an unprimeable number, because it can be changed into a prime (6975150001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95549964 + ... + 95550036.

Almost surely, 26975150000 is an apocalyptic number.

6975150000 is a gapful number since it is divisible by the number (60) 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 6975150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300740944).

6975150000 is an abundant number, since it is smaller than the sum of its proper divisors (21626331888).

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

6975150000 is a wasteful number, since it uses less digits than its factorization.

6975150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 6975150000 is about 83517.3634641324. The cubic root of 6975150000 is about 1910.6648636090.

Adding to 6975150000 its reverse (515796), we get a palindrome (6975665796).

The spelling of 6975150000 in words is "six billion, nine hundred seventy-five million, one hundred fifty thousand".