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15376000000 = 21056312
BaseRepresentation
bin11100101000111101…
…10010010000000000
31110200120122201201111
432110132302100000
5222442224000000
611021425013104
71053013562224
oct162436622000
943616581644
1015376000000
116580395419
122b91484194
1315b070666a
14a5c13c784
155eed36cba
hex3947b2400

15376000000 has 231 divisors, whose sum is σ = 39700097301. Its totient is φ = 5952000000.

The previous prime is 15375999937. The next prime is 15376000027. The reversal of 15376000000 is 67351.

The square root of 15376000000 is 124000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 13470852096 + 1905147904 = 116064^2 + 43648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 495999985 + ... + 496000015.

Almost surely, 215376000000 is an apocalyptic number.

15376000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15376000000 is the 124000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15376000000

15376000000 is an abundant number, since it is smaller than the sum of its proper divisors (24324097301).

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

15376000000 is an frugal number, since it uses more digits than its factorization.

15376000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 15376000000 its reverse (67351), we get a palindrome (15376067351).

The spelling of 15376000000 in words is "fifteen billion, three hundred seventy-six million", and thus it is an aban number.