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15081214080 = 2735172320089
BaseRepresentation
bin11100000101110100…
…10001000010000000
31102221000222001110110
432002322101002000
5221341242322310
610532254431320
71042504130112
oct160272210200
942830861413
1015081214080
116439a52399
122b0a802540
131564612c1a
14a30d253b2
155d4007d20
hex382e91080

15081214080 has 256 divisors, whose sum is σ = 53114745600. Its totient is φ = 3620339712.

The previous prime is 15081214079. The next prime is 15081214111. The reversal of 15081214080 is 8041218051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 740676 + ... + 760764.

It is an arithmetic number, because the mean of its divisors is an integer number (207479475).

Almost surely, 215081214080 is an apocalyptic number.

15081214080 is a gapful number since it is divisible by the number (10) 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 15081214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557372800).

15081214080 is an abundant number, since it is smaller than the sum of its proper divisors (38033531520).

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

15081214080 is a wasteful number, since it uses less digits than its factorization.

15081214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 15081214080 in words is "fifteen billion, eighty-one million, two hundred fourteen thousand, eighty".