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216694270577484 = 223472331592271239
BaseRepresentation
bin110001010001010100010001…
…000001011100101101001100
31001102020202210021222102220000
4301101110101001130231030
5211400304331231434414
62044511550145324300
763433434014016150
oct6121242101345514
91042222707872800
10216694270577484
1163055584595487
1220378974936690
1393bb249c13c8b
143b720b6d4d060
151a0baae035b09
hexc5151105cb4c

216694270577484 has 480 divisors, whose sum is σ = 709167616819200. Its totient is φ = 56339057934720.

The previous prime is 216694270577471. The next prime is 216694270577531. The reversal of 216694270577484 is 484775072496612.

It is a happy number.

216694270577484 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 9 + 4 + 2 + 7 + 0 + 577 + 48 + 4 = 666.

It is a super-2 number, since 2×2166942705774842 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 159 ways as a sum of consecutive naturals, for example, 94272337 + ... + 96543575.

It is an arithmetic number, because the mean of its divisors is an integer number (1477432535040).

Almost surely, 2216694270577484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216694270577484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354583808409600).

216694270577484 is an abundant number, since it is smaller than the sum of its proper divisors (492473346241716).

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

216694270577484 is a wasteful number, since it uses less digits than its factorization.

216694270577484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271375 (or 2271364 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 216694270577484 in words is "two hundred sixteen trillion, six hundred ninety-four billion, two hundred seventy million, five hundred seventy-seven thousand, four hundred eighty-four".