Search a number
-
+
149958690025 = 5241218892
BaseRepresentation
bin1000101110101000111…
…1000000010011101001
3112100001212201202020111
42023222033000103221
54424103411040100
6152520131054321
713556054556004
oct2135217002351
9470055652214
10149958690025
1158662853381
1225090a413a1
13111aab475a1
1473880ba53b
153d7a16e6ba
hex22ea3c04e9

149958690025 has 27 divisors (see below), whose sum is σ = 190695680143. Its totient is φ = 116978969600.

The previous prime is 149958690023. The next prime is 149958690029. The reversal of 149958690025 is 520096859941.

The square root of 149958690025 is 387245.

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

It can be written as a sum of positive squares in 13 ways, for example, as 149400029529 + 558660496 = 386523^2 + 23636^2 .

It is not a de Polignac number, because 149958690025 - 21 = 149958690023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149958690023) 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, 79384281 + ... + 79386169.

Almost surely, 2149958690025 is an apocalyptic number.

149958690025 is the 387245-th square number.

149958690025 is the 193623-rd centered octagonal number.

It is an amenable number.

149958690025 is a deficient number, since it is larger than the sum of its proper divisors (40736990118).

149958690025 is an frugal number, since it uses more digits than its factorization.

149958690025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 149958690025 in words is "one hundred forty-nine billion, nine hundred fifty-eight million, six hundred ninety thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 1681 1889 8405 9445 42025 47225 77449 387245 1936225 3175409 3568321 15877045 17841605 79385225 89208025 146301161 731505805 3657529025 5998347601 29991738005 149958690025