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149375890695249 = 322512162312
BaseRepresentation
bin100001111101101101001000…
…111001110010010001010001
3201120220012021122201011022100
4201331231020321302101101
5124034333311004221444
61245410200431431013
743315023552200211
oct4175551071622121
9646805248634270
10149375890695249
1143660a61092219
121490606b685469
13654711709160a
1428c5b90206241
151240922bcde69
hex87db48e72451

149375890695249 has 27 divisors (see below), whose sum is σ = 216641569846377. Its totient is φ = 99181067445000.

The previous prime is 149375890695193. The next prime is 149375890695287. The reversal of 149375890695249 is 942596098573941.

The square root of 149375890695249 is 12221943.

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

149375890695249 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 7 + 5 + 89 + 0 + 6 + 9 + 524 + 9 = 666.

It is not a de Polignac number, because 149375890695249 - 211 = 149375890693201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149375890695649) 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 26 ways as a sum of consecutive naturals, for example, 9203114964 + ... + 9203131194.

It is a 1-persistent number, because it is pandigital, but 2⋅149375890695249 = 298751781390498 is not.

Almost surely, 2149375890695249 is an apocalyptic number.

149375890695249 is the 12221943-rd square number.

149375890695249 is the 6110972-nd centered octagonal number.

It is an amenable number.

149375890695249 is a deficient number, since it is larger than the sum of its proper divisors (67265679151128).

149375890695249 is an frugal number, since it uses more digits than its factorization.

149375890695249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32970 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 149375890695249 in words is "one hundred forty-nine trillion, three hundred seventy-five billion, eight hundred ninety million, six hundred ninety-five thousand, two hundred forty-nine".

Divisors: 1 3 9 251 753 2259 16231 48693 63001 146079 189003 567009 4073981 12221943 36665829 263445361 790336083 1022569231 2371008249 3067707693 9203123079 66124785611 198374356833 595123070499 16597321188361 49791963565083 149375890695249