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16268675853078 = 2361117271421523
BaseRepresentation
bin1110110010111101100010…
…1001010010101100010110
32010121021021222210022000000
43230233120221102230112
54113021222004244303
654333420532032130
73266241645051465
oct354573051225426
963537258708000
1016268675853078
115202563439540
1219a8b8a762646
1391018b81102c
1440359dc0a9dc
151d32bb5a0da3
hexecbd8a52b16

16268675853078 has 448 divisors, whose sum is σ = 42599824487424. Its totient is φ = 4602987648000.

The previous prime is 16268675853041. The next prime is 16268675853083. The reversal of 16268675853078 is 87035857686261.

16268675853078 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 8 + 6 + 7 + 585 + 30 + 7 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16268675852997 and 16268675853015.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 31106454525 + ... + 31106455047.

Almost surely, 216268675853078 is an apocalyptic number.

16268675853078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16268675853078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299912243712).

16268675853078 is an abundant number, since it is smaller than the sum of its proper divisors (26331148634346).

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

16268675853078 is a wasteful number, since it uses less digits than its factorization.

16268675853078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 16268675853078 in words is "sixteen trillion, two hundred sixty-eight billion, six hundred seventy-five million, eight hundred fifty-three thousand, seventy-eight".