Search a number
-
+
16689820642560 = 28335132941157199
BaseRepresentation
bin1111001011011110011011…
…0101001010110100000000
32012002112100022000021012000
43302313212311022310000
54141421223041030220
655255110414304000
73341541212516202
oct362674665126400
965075308007160
1016689820642560
11535512771716a
121a567231b8000
13940ac6a5a510
14419b12332772
151de219497390
hexf2de6d4ad00

16689820642560 has 2304 divisors, whose sum is σ = 68362479360000. Its totient is φ = 3825881579520.

The previous prime is 16689820642553. The next prime is 16689820642603. The reversal of 16689820642560 is 6524602898661.

16689820642560 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 8 + 2 + 0 + 64 + 2 + 560 = 666.

16689820642560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×166898206425602 (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 255 ways as a sum of consecutive naturals, for example, 83868445341 + ... + 83868445539.

It is an arithmetic number, because the mean of its divisors is an integer number (29671215000).

Almost surely, 216689820642560 is an apocalyptic number.

16689820642560 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 16689820642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181239680000).

16689820642560 is an abundant number, since it is smaller than the sum of its proper divisors (51672658717440).

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

16689820642560 is a wasteful number, since it uses less digits than its factorization.

16689820642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 16689820642560 in words is "sixteen trillion, six hundred eighty-nine billion, eight hundred twenty million, six hundred forty-two thousand, five hundred sixty".