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13887329280 = 210351182193
BaseRepresentation
bin11001110111011111…
…11101010000000000
31022211211110102101220
430323233331100000
5211420124014110
610214005355040
71001066231316
oct147357752000
938754412356
1013887329280
115987043040
122836a08a80
131404180006
1495a5480b6
155642c9370
hex33bbfd400

13887329280 has 176 divisors, whose sum is σ = 48456321984. Its totient is φ = 3366584320.

The previous prime is 13887329243. The next prime is 13887329299. The reversal of 13887329280 is 8292378831.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×138873292802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127864 + ... + 210056.

Almost surely, 213887329280 is an apocalyptic number.

13887329280 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 13887329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24228160992).

13887329280 is an abundant number, since it is smaller than the sum of its proper divisors (34568992704).

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

13887329280 is a wasteful number, since it uses less digits than its factorization.

13887329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82232 (or 82214 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 13887329280 in words is "thirteen billion, eight hundred eighty-seven million, three hundred twenty-nine thousand, two hundred eighty".