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800950057281 = 321121097670457
BaseRepresentation
bin10111010011111000101…
…01111111100101000001
32211120101120211122120100
423221330111333211001
5101110321203313111
61411541255233013
7111603201104223
oct13517425774501
92746346748510
10800950057281
11289754476900
1210b290678769
135a6b5a4b54a
142aaa25d2413
1515c7b90a756
hexba7c57f941

800950057281 has 36 divisors (see below), whose sum is σ = 1272825626436. Its totient is φ = 484981052160.

The previous prime is 800950057253. The next prime is 800950057309. The reversal of 800950057281 is 182750059008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800950057253) and next prime (800950057309).

It can be written as a sum of positive squares in 2 ways, for example, as 95712890625 + 705237166656 = 309375^2 + 839784^2 .

It is not a de Polignac number, because 800950057281 - 214 = 800950040897 is a prime.

It is a super-2 number, since 2×8009500572812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (800950057381) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 859405 + ... + 1529861.

It is an arithmetic number, because the mean of its divisors is an integer number (35356267401).

Almost surely, 2800950057281 is an apocalyptic number.

It is an amenable number.

800950057281 is a deficient number, since it is larger than the sum of its proper divisors (471875569155).

800950057281 is a wasteful number, since it uses less digits than its factorization.

800950057281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671582 (or 671568 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 800950057281 in words is "eight hundred billion, nine hundred fifty million, fifty-seven thousand, two hundred eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1097 3291 9873 12067 36201 108603 132737 398211 670457 1194633 2011371 6034113 7375027 22125081 66375243 81125297 243375891 730127673 735491329 2206473987 6619421961 8090404619 24271213857 72813641571 88994450809 266983352427 800950057281