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16021287291366 = 232717192791631609
BaseRepresentation
bin1110100100100011111100…
…1000110100100111100110
32002201121202001120020202100
43221020333020310213212
54044443044021310431
654024024444352530
73242333302012440
oct351107710644746
962647661506670
1016021287291366
115117654002555
121969048845746
138c2a5479b4c6
143d5612177490
151cbb3cb764e6
hexe923f2349e6

16021287291366 has 576 divisors, whose sum is σ = 45197226547200. Its totient is φ = 4002618986496.

The previous prime is 16021287291299. The next prime is 16021287291367. The reversal of 16021287291366 is 66319278212061.

It is a happy number.

16021287291366 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 128 + 72 + 91 + 366 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16021287291367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9957293970 + ... + 9957295578.

It is an arithmetic number, because the mean of its divisors is an integer number (78467407200).

Almost surely, 216021287291366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16021287291366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22598613273600).

16021287291366 is an abundant number, since it is smaller than the sum of its proper divisors (29175939255834).

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

16021287291366 is a wasteful number, since it uses less digits than its factorization.

16021287291366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16021287291366 in words is "sixteen trillion, twenty-one billion, two hundred eighty-seven million, two hundred ninety-one thousand, three hundred sixty-six".