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13998650688 = 263511243173
BaseRepresentation
bin11010000100110001…
…00111010101000000
31100010120221010200000
431002120213111000
5212132123310223
610233023400000
71003620365451
oct150230472500
940116833600
1013998650688
115a33967500
122868153000
131421258979
1496b245128
1556de68543
hex342627540

13998650688 has 504 divisors, whose sum is σ = 47071568544. Its totient is φ = 4119413760.

The previous prime is 13998650671. The next prime is 13998650711. The reversal of 13998650688 is 88605689931.

13998650688 is a `hidden beast` number, since 1 + 39 + 98 + 6 + 506 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80916970 + ... + 80917142.

Almost surely, 213998650688 is an apocalyptic number.

13998650688 is a gapful number since it is divisible by the number (18) 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 13998650688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23535784272).

13998650688 is an abundant number, since it is smaller than the sum of its proper divisors (33072917856).

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

13998650688 is a wasteful number, since it uses less digits than its factorization.

13998650688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 13998650688 in words is "thirteen billion, nine hundred ninety-eight million, six hundred fifty thousand, six hundred eighty-eight".