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149299550449 = 721741912
BaseRepresentation
bin1000101100001011110…
…0100101100011110001
3112021100221102222201121
42023002330211203301
54421231141103244
6152330503302241
713533532145200
oct2130274454361
9467327388647
10149299550449
1158354782025
1224b2814a981
131110441357a
14732473b237
153d3c36dc84
hex22c2f258f1

149299550449 has 45 divisors (see below), whose sum is σ = 185500725501. Its totient is φ = 119812741440.

The previous prime is 149299550419. The next prime is 149299550459. The reversal of 149299550449 is 944055992941.

The square root of 149299550449 is 386393.

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

It can be written as a sum of positive squares in 2 ways, for example, as 46335576049 + 102963974400 = 215257^2 + 320880^2 .

It is not a de Polignac number, because 149299550449 - 25 = 149299550417 is a prime.

It is a super-2 number, since 2×1492995504492 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149299550419) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 781672944 + ... + 781673134.

Almost surely, 2149299550449 is an apocalyptic number.

149299550449 is the 386393-rd square number.

149299550449 is the 193197-th centered octagonal number.

It is an amenable number.

149299550449 is a deficient number, since it is larger than the sum of its proper divisors (36201175052).

149299550449 is an frugal number, since it uses more digits than its factorization.

149299550449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 149299550449 in words is "one hundred forty-nine billion, two hundred ninety-nine million, five hundred fifty thousand, four hundred forty-nine".

Divisors: 1 7 17 49 119 191 289 833 1337 2023 3247 4913 9359 14161 22729 34391 36481 55199 83521 159103 240737 255367 386393 584647 620177 938383 1787569 2704751 4092529 4341239 6568681 10543009 15952511 30388673 45980767 73801063 111667577 179231153 516607441 781673039 1254618071 3046929601 8782326497 21328507207 149299550449