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15142045248 = 26321117257547
BaseRepresentation
bin11100001101000100…
…10100011001000000
31110002021102121010200
432012202110121000
5222002330421443
610542310325200
71044143155341
oct160642243100
943067377120
1015142045248
116470320790
122b27059800
1315740c12b5
14a3903c0c8
155d9521dd3
hex386894640

15142045248 has 336 divisors, whose sum is σ = 50419796544. Its totient is φ = 4293918720.

The previous prime is 15142045207. The next prime is 15142045267. The reversal of 15142045248 is 84254024151.

15142045248 is a `hidden beast` number, since 151 + 420 + 45 + 2 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27681711 + ... + 27682257.

Almost surely, 215142045248 is an apocalyptic number.

15142045248 is a gapful number since it is divisible by the number (18) 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 15142045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209898272).

15142045248 is an abundant number, since it is smaller than the sum of its proper divisors (35277751296).

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

15142045248 is a wasteful number, since it uses less digits than its factorization.

15142045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 15142045248 its reverse (84254024151), we get a palindrome (99396069399).

The spelling of 15142045248 in words is "fifteen billion, one hundred forty-two million, forty-five thousand, two hundred forty-eight".