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15253230080 = 2951131101173
BaseRepresentation
bin11100011010010100…
…11101001000000000
31110101000122101001102
432031022131020000
5222214311330310
611001321353532
71046663213354
oct161512351000
943330571042
1015253230080
116518061580
122b583388a8
13159114ca3a
14a49b01464
155e41858a5
hex38d29d200

15253230080 has 320 divisors, whose sum is σ = 41831894016. Its totient is φ = 5283840000.

The previous prime is 15253230067. The next prime is 15253230089. The reversal of 15253230080 is 8003235251.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×152532300802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15253230089) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88168874 + ... + 88169046.

Almost surely, 215253230080 is an apocalyptic number.

15253230080 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 15253230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20915947008).

15253230080 is an abundant number, since it is smaller than the sum of its proper divisors (26578663936).

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

15253230080 is a wasteful number, since it uses less digits than its factorization.

15253230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 15253230080 in words is "fifteen billion, two hundred fifty-three million, two hundred thirty thousand, eighty".