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18780163776816 = 243131931375989263
BaseRepresentation
bin1000100010100100110001…
…11111011010000100110000
32110111100212220101211222120
410101102120333122010300
54430143233411324231
6103535253234234240
73645551652141231
oct421223077320460
973440786354876
1018780163776816
115a90693943972
12213387aa25980
13a62c67234c80
1448cd714c1088
152287ad9d0d96
hex111498fda130

18780163776816 has 1280 divisors, whose sum is σ = 60188147712000. Its totient is φ = 4991251415040.

The previous prime is 18780163776679. The next prime is 18780163776827. The reversal of 18780163776816 is 61867736108781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71407466701 + ... + 71407466963.

It is an arithmetic number, because the mean of its divisors is an integer number (47021990400).

Almost surely, 218780163776816 is an apocalyptic number.

18780163776816 is a gapful number since it is divisible by the number (16) 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 18780163776816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30094073856000).

18780163776816 is an abundant number, since it is smaller than the sum of its proper divisors (41407983935184).

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

18780163776816 is a wasteful number, since it uses less digits than its factorization.

18780163776816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 69.

The spelling of 18780163776816 in words is "eighteen trillion, seven hundred eighty billion, one hundred sixty-three million, seven hundred seventy-six thousand, eight hundred sixteen".