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216426746416122 = 232111318344002869
BaseRepresentation
bin110001001101011011000111…
…010101110000101111111010
31001101022012021002001221122100
4301031123013111300233322
5211331413434040303442
62044145024050204230
763405213351121014
oct6115330725605772
91041265232057570
10216426746416122
1162a62082133450
1220334b53583676
13939bc5439a348
143b63178db71b4
151a04b52a0784c
hexc4d6c7570bfa

216426746416122 has 48 divisors (see below), whose sum is σ = 515459121297120. Its totient is φ = 65083222370400.

The previous prime is 216426746416051. The next prime is 216426746416123. The reversal of 216426746416122 is 221614647624612.

216426746416122 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 2 + 67 + 46 + 416 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (216426746416123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4171975497 + ... + 4172027372.

It is an arithmetic number, because the mean of its divisors is an integer number (10738731693690).

Almost surely, 2216426746416122 is an apocalyptic number.

216426746416122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

216426746416122 is an abundant number, since it is smaller than the sum of its proper divisors (299032374880998).

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

216426746416122 is a wasteful number, since it uses less digits than its factorization.

216426746416122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344003019 (or 8344003016 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 216426746416122 in words is "two hundred sixteen trillion, four hundred twenty-six billion, seven hundred forty-six million, four hundred sixteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 8344002869 16688005738 25032008607 50064017214 75096025821 91784031559 150192051642 183568063118 275352094677 550704189354 826056284031 1093064375839 1652112568062 2186128751678 3279193127517 6558386255034 9837579382551 12023708134229 19675158765102 24047416268458 36071124402687 72142248805374 108213373208061 216426746416122