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850214929041 = 32293210492
BaseRepresentation
bin11000101111101001100…
…00100100001010010001
310000021112221101102211100
430113310300210022101
5102412220010212131
61450330000335013
7115266055441032
oct14276460441221
93007487342740
10850214929041
112a8635187155
1211893b314469
13622373cc93a
142d217442a89
15171b198e7e6
hexc5f4c24291

850214929041 has 27 divisors (see below), whose sum is σ = 1233469815409. Its totient is φ = 564336958272.

The previous prime is 850214929009. The next prime is 850214929051. The reversal of 850214929041 is 140929412058.

It is a happy number.

The square root of 850214929041 is 922071.

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

850214929041 is a `hidden beast` number, since 8 + 50 + 21 + 492 + 90 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622307988225 + 227906940816 = 788865^2 + 477396^2 .

It is not a de Polignac number, because 850214929041 - 25 = 850214929009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (850214929001) 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 26 ways as a sum of consecutive naturals, for example, 810499885 + ... + 810500933.

Almost surely, 2850214929041 is an apocalyptic number.

850214929041 is the 922071-st square number.

850214929041 is the 461036-th centered octagonal number.

It is an amenable number.

850214929041 is a deficient number, since it is larger than the sum of its proper divisors (383254886368).

850214929041 is an frugal number, since it uses more digits than its factorization.

850214929041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 850214929041 in words is "eight hundred fifty billion, two hundred fourteen million, nine hundred twenty-nine thousand, forty-one".

Divisors: 1 3 9 293 879 1049 2637 3147 9441 85849 257547 307357 772641 922071 1100401 2766213 3301203 9903609 90055601 270166803 322417493 810500409 967252479 2901757437 94468325449 283404976347 850214929041