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15008232096 = 253611213409
BaseRepresentation
bin11011111101000111…
…10111001010100000
31102201221122012000000
431332203313022200
5221214101411341
610521130300000
71040626603464
oct157643671240
942657565000
1015008232096
116401834a00
122aaa287600
13155246c010
14a253684a4
155cc8dd8b6
hex37e8f72a0

15008232096 has 504 divisors, whose sum is σ = 52568337780. Its totient is φ = 4187842560.

The previous prime is 15008232037. The next prime is 15008232101. The reversal of 15008232096 is 69023280051.

It can be written as a sum of positive squares in 2 ways, for example, as 14972948496 + 35283600 = 122364^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15008232096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36694740 + ... + 36695148.

Almost surely, 215008232096 is an apocalyptic number.

15008232096 is a gapful number since it is divisible by the number (16) 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 15008232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284168890).

15008232096 is an abundant number, since it is smaller than the sum of its proper divisors (37560105684).

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

15008232096 is a wasteful number, since it uses less digits than its factorization.

15008232096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15008232096 in words is "fifteen billion, eight million, two hundred thirty-two thousand, ninety-six".