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216523241300088 = 23323007267240279
BaseRepresentation
bin110001001110110100111110…
…111000100010000001111000
31001101122102022222012221121200
4301032310332320202001320
5211340004044233100323
62044301223122334200
763415200524111232
oct6116647670420170
91041572288187550
10216523241300088
1162a99a99a67a38
122034b7a34ba360
1393a809196b918
143b67ad0707252
151a073ee174443
hexc4ed3ee22078

216523241300088 has 24 divisors (see below), whose sum is σ = 586417111854600. Its totient is φ = 72174413766672.

The previous prime is 216523241300077. The next prime is 216523241300141. The reversal of 216523241300088 is 880003142325612.

216523241300088 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 23 + 241 + 300 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2165232413000883 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 5 ways as a sum of consecutive naturals, for example, 1503633620068 + ... + 1503633620211.

It is an arithmetic number, because the mean of its divisors is an integer number (24434046327275).

Almost surely, 2216523241300088 is an apocalyptic number.

It is an amenable number.

216523241300088 is an abundant number, since it is smaller than the sum of its proper divisors (369893870554512).

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

216523241300088 is a wasteful number, since it uses less digits than its factorization.

216523241300088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007267240291 (or 3007267240284 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 216523241300088 in words is "two hundred sixteen trillion, five hundred twenty-three billion, two hundred forty-one million, three hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3007267240279 6014534480558 9021801720837 12029068961116 18043603441674 24058137922232 27065405162511 36087206883348 54130810325022 72174413766696 108261620650044 216523241300088