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216954734656 = 26112672792
BaseRepresentation
bin1100101000001110000…
…0101000100001000000
3202201222221121110000211
43022003200220201000
512023310403002111
6243400112523504
721450224550202
oct3120340504100
9681887543024
10216954734656
1184012323300
1236069850594
13175c6b2424a
14a701b7a772
15599bba9521
hex3283828840

216954734656 has 189 divisors, whose sum is σ = 486541826127. Its totient is φ = 95914241280.

The previous prime is 216954734639. The next prime is 216954734669. The reversal of 216954734656 is 656437459612.

The square root of 216954734656 is 465784.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216954734656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2746262425 + ... + 2746262503.

Almost surely, 2216954734656 is an apocalyptic number.

216954734656 is the 465784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216954734656

216954734656 is an abundant number, since it is smaller than the sum of its proper divisors (269587091471).

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

216954734656 is an frugal number, since it uses more digits than its factorization.

216954734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 159 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 58.

The spelling of 216954734656 in words is "two hundred sixteen billion, nine hundred fifty-four million, seven hundred thirty-four thousand, six hundred fifty-six".