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850148541225 = 3252614692
BaseRepresentation
bin11000101111100001100…
…11010100001100101001
310000021101022110120212100
430113300303110030221
5102412101011304400
61450315225404013
7115264321240404
oct14276063241451
93007338416770
10850148541225
112a8600762a95
12118921039609
13622267272c9
142d20c6c0d3b
15171aac29100
hexc5f0cd4329

850148541225 has 27 divisors (see below), whose sum is σ = 1522735270693. Its totient is φ = 453405179040.

The previous prime is 850148541149. The next prime is 850148541233. The reversal of 850148541225 is 522145841058.

The square root of 850148541225 is 922035.

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

850148541225 is a `hidden beast` number, since 8 + 501 + 4 + 85 + 41 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92287756521 + 757860784704 = 303789^2 + 870552^2 .

It is a de Polignac number, because none of the positive numbers 2k-850148541225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 13799791 + ... + 13861259.

Almost surely, 2850148541225 is an apocalyptic number.

850148541225 is the 922035-th square number.

850148541225 is the 461018-th centered octagonal number.

It is an amenable number.

850148541225 is a deficient number, since it is larger than the sum of its proper divisors (672586729468).

850148541225 is an frugal number, since it uses more digits than its factorization.

850148541225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122954 (or 61477 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 850148541225 in words is "eight hundred fifty billion, one hundred forty-eight million, five hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 61469 184407 307345 553221 922035 1536725 2766105 4610175 13830525 3778437961 11335313883 18892189805 34005941649 56676569415 94460949025 170029708245 283382847075 850148541225