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16808069690880 = 2935133161127701
BaseRepresentation
bin1111010010010110111100…
…0001011111011000000000
32012111211120021110022112020
43310211233001133120000
54200340411320102010
655425304242001440
73353225431036206
oct364455701373000
965454507408466
1016808069690880
1153a0298178386
121a75624646280
1394bcc02689b0
1442172cccd076
151e233a882470
hexf496f05f600

16808069690880 has 1280 divisors, whose sum is σ = 61277869965312. Its totient is φ = 3901685760000.

The previous prime is 16808069690851. The next prime is 16808069690897. The reversal of 16808069690880 is 8809696080861.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×168080696908802 (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 23977274530 + ... + 23977275230.

Almost surely, 216808069690880 is an apocalyptic number.

16808069690880 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 16808069690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638934982656).

16808069690880 is an abundant number, since it is smaller than the sum of its proper divisors (44469800274432).

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

16808069690880 is a wasteful number, since it uses less digits than its factorization.

16808069690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 69.

The spelling of 16808069690880 in words is "sixteen trillion, eight hundred eight billion, sixty-nine million, six hundred ninety thousand, eight hundred eighty".