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16886469006 = 2351110928979
BaseRepresentation
bin11111011101000001…
…10001000110001110
31121120211212111200000
433232200301012032
5234040414002011
611431343345130
71135314422031
oct175640610616
947524774600
1016886469006
117185a76110
1233332b21a6
131791622ac4
14b629a9018
1568c74d356
hex3ee83118e

16886469006 has 96 divisors (see below), whose sum is σ = 41772931200. Its totient is φ = 5069990880.

The previous prime is 16886468999. The next prime is 16886469011. The reversal of 16886469006 is 60096468861.

16886469006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568225 + ... + 597203.

It is an arithmetic number, because the mean of its divisors is an integer number (435134700).

Almost surely, 216886469006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16886469006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886465600).

16886469006 is an abundant number, since it is smaller than the sum of its proper divisors (24886462194).

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

16886469006 is a wasteful number, since it uses less digits than its factorization.

16886469006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29104 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16886469006 in words is "sixteen billion, eight hundred eighty-six million, four hundred sixty-nine thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 109 162 198 218 243 297 327 486 594 654 891 981 1199 1782 1962 2398 2673 2943 3597 5346 5886 7194 8829 10791 17658 21582 26487 28979 32373 52974 57958 64746 86937 97119 173874 194238 260811 291357 318769 521622 582714 637538 782433 956307 1564866 1912614 2347299 2868921 3158711 4694598 5737842 6317422 7041897 8606763 9476133 14083794 17213526 18952266 25820289 28428399 34745821 51640578 56856798 69491642 77460867 85285197 104237463 154921734 170570394 208474926 255855591 312712389 511711182 625424778 767566773 938137167 1535133546 1876274334 2814411501 5628823002 8443234503 16886469006