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15252009696 = 253672111213
BaseRepresentation
bin11100011010001011…
…10011001011100000
31110100221100101000000
432031011303023200
5222214003302241
611001235300000
71046646641400
oct161505631340
943327311000
1015252009696
1165173a86a0
122b57a4a600
131590b13411
14a498a4800
155e3ee3eb6
hex38d1732e0

15252009696 has 504 divisors, whose sum is σ = 57178860984. Its totient is φ = 3958295040.

The previous prime is 15252009691. The next prime is 15252009709. The reversal of 15252009696 is 69690025251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15252009691) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12573186 + ... + 12574398.

It is an arithmetic number, because the mean of its divisors is an integer number (113450121).

Almost surely, 215252009696 is an apocalyptic number.

15252009696 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 15252009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28589430492).

15252009696 is an abundant number, since it is smaller than the sum of its proper divisors (41926851288).

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

15252009696 is a wasteful number, since it uses less digits than its factorization.

15252009696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 15252009696 in words is "fifteen billion, two hundred fifty-two million, nine thousand, six hundred ninety-six".