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8936057976976 = 24132574872
BaseRepresentation
bin1000001000001001011010…
…0011111011100010010000
31011122021112020121111121101
42002002112203323202100
52132402021320230401
631001100211034144
71611415563354124
oct202022643734220
934567466544541
108936057976976
1129358408468a9
121003a4b89b954
134ca888830300
1422c716891584
151076a9d57101
hex820968fb890

8936057976976 has 45 divisors (see below), whose sum is σ = 18748202203161. Its totient is φ = 4124262707136.

The previous prime is 8936057976973. The next prime is 8936057976991. The reversal of 8936057976976 is 6796797506398.

The square root of 8936057976976 is 2989324.

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

It can be written as a sum of positive squares in only one way, i.e., 1321902067600 + 7614155909376 = 1149740^2 + 2759376^2 .

It is a super-2 number, since 2×89360579769762 (a number of 27 digits) contains 22 as substring.

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 8936057976976.

It is not an unprimeable number, because it can be changed into a prime (8936057976973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155416105 + ... + 155473591.

Almost surely, 28936057976976 is an apocalyptic number.

8936057976976 is the 2989324-th square number.

It is an amenable number.

8936057976976 is an abundant number, since it is smaller than the sum of its proper divisors (9812144226185).

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

8936057976976 is an frugal number, since it uses more digits than its factorization.

8936057976976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115008 (or 57502 counting only the distinct ones).

The product of its (nonzero) digits is 6481218240, while the sum is 82.

The spelling of 8936057976976 in words is "eight trillion, nine hundred thirty-six billion, fifty-seven million, nine hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 57487 114974 229948 459896 747331 919792 1494662 2989324 5978648 9715303 11957296 19430606 38861212 77722424 155444848 3304755169 6609510338 13219020676 26438041352 42961817197 52876082704 85923634394 171847268788 343694537576 558503623561 687389075152 1117007247122 2234014494244 4468028988488 8936057976976