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13969687680 = 2734513191091
BaseRepresentation
bin11010000001010100…
…01000010010000000
31100001120102122220000
431000222020102000
5212102220001210
610230110520000
71003116246264
oct150052102200
940046378800
1013969687680
115a19585133
12285a506000
1314182579b0
149674660a4
1556b646ac0
hex340a88480

13969687680 has 640 divisors, whose sum is σ = 56605348800. Its totient is φ = 3254722560.

The previous prime is 13969687663. The next prime is 13969687709. The reversal of 13969687680 is 8678696931.

13969687680 is a `hidden beast` number, since 1 + 396 + 96 + 87 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12803935 + ... + 12805025.

Almost surely, 213969687680 is an apocalyptic number.

13969687680 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 13969687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28302674400).

13969687680 is an abundant number, since it is smaller than the sum of its proper divisors (42635661120).

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

13969687680 is a wasteful number, since it uses less digits than its factorization.

13969687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 13969687680 in words is "thirteen billion, nine hundred sixty-nine million, six hundred eighty-seven thousand, six hundred eighty".