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13948018560 = 273457217219
BaseRepresentation
bin11001111110101110…
…11101111110000000
31100000001122202110000
430333113131332000
5212031143043220
610224014240000
71002434126100
oct147727357600
940001582400
1013948018560
115a08324873
1228531b6000
13141390b928
14964625200
155697b6390
hex33f5ddf80

13948018560 has 1440 divisors, whose sum is σ = 64791797400. Its totient is φ = 2842656768.

The previous prime is 13948018529. The next prime is 13948018571. The reversal of 13948018560 is 6581084931.

13948018560 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 80 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 734106231 + ... + 734106249.

Almost surely, 213948018560 is an apocalyptic number.

13948018560 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 13948018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32395898700).

13948018560 is an abundant number, since it is smaller than the sum of its proper divisors (50843778840).

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

13948018560 is a wasteful number, since it uses less digits than its factorization.

13948018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13948018560 in words is "thirteen billion, nine hundred forty-eight million, eighteen thousand, five hundred sixty".