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15289841952 = 25327115313009
BaseRepresentation
bin11100011110101100…
…00111100100100000
31110110120112110002200
432033112013210200
5222303144420302
611005110213200
71050616340460
oct161726074440
943416473080
1015289841952
116536798620
122b68654200
1315988cb378
14a50911ba0
155e74b881c
hex38f587920

15289841952 has 288 divisors, whose sum is σ = 55236504960. Its totient is φ = 3896156160.

The previous prime is 15289841923. The next prime is 15289841971. The reversal of 15289841952 is 25914898251.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1168824 + ... + 1181832.

It is an arithmetic number, because the mean of its divisors is an integer number (191793420).

Almost surely, 215289841952 is an apocalyptic number.

15289841952 is a gapful number since it is divisible by the number (12) 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 15289841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27618252480).

15289841952 is an abundant number, since it is smaller than the sum of its proper divisors (39946663008).

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

15289841952 is a wasteful number, since it uses less digits than its factorization.

15289841952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13085 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 15289841952 in words is "fifteen billion, two hundred eighty-nine million, eight hundred forty-one thousand, nine hundred fifty-two".