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13710449760 = 2535717212371
BaseRepresentation
bin11001100010011010…
…01101110001100000
31022101111122000022120
430301031031301200
5211034333343020
610144250304240
7663520620510
oct146115156140
938344560276
1013710449760
1158a6211917
1227a7728080
1313a662c587
14940c63840
155539da740
hex33134dc60

13710449760 has 192 divisors, whose sum is σ = 49407128064. Its totient is φ = 3130675200.

The previous prime is 13710449747. The next prime is 13710449773. The reversal of 13710449760 is 6794401731.

It is an interprime number because it is at equal distance from previous prime (13710449747) and next prime (13710449773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5781375 + ... + 5783745.

It is an arithmetic number, because the mean of its divisors is an integer number (257328792).

Almost surely, 213710449760 is an apocalyptic number.

13710449760 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 13710449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703564032).

13710449760 is an abundant number, since it is smaller than the sum of its proper divisors (35696678304).

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

13710449760 is a wasteful number, since it uses less digits than its factorization.

13710449760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13710449760 in words is "thirteen billion, seven hundred ten million, four hundred forty-nine thousand, seven hundred sixty".