Search a number
-
+
157883049025 = 5213261132
BaseRepresentation
bin1001001100001010010…
…0000010010001000001
3120002112010210220012021
42103002210002101001
510041321030032100
6200310325401441
714256326526322
oct2230244022101
9502463726167
10157883049025
1160a599575a9
1226722869281
1311b717c5400
1478da6d4449
154190bc7a1a
hex24c2902441

157883049025 has 27 divisors (see below), whose sum is σ = 212027711259. Its totient is φ = 116571486720.

The previous prime is 157883049019. The next prime is 157883049047. The reversal of 157883049025 is 520940388751.

It is a happy number.

The square root of 157883049025 is 397345.

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 143575061569 + 14307987456 = 378913^2 + 119616^2 .

It is not a de Polignac number, because 157883049025 - 221 = 157880951873 is a prime.

It is a super-3 number, since 3×1578830490253 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25824369 + ... + 25830481.

Almost surely, 2157883049025 is an apocalyptic number.

157883049025 is the 397345-th square number.

157883049025 is the 198673-rd centered octagonal number.

It is an amenable number.

157883049025 is a deficient number, since it is larger than the sum of its proper divisors (54144662234).

157883049025 is an frugal number, since it uses more digits than its factorization.

157883049025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 157883049025 in words is "one hundred fifty-seven billion, eight hundred eighty-three million, forty-nine thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 6113 30565 79469 152825 397345 1033097 1986725 5165485 25827425 37368769 186843845 485793997 934219225 2428969985 6315321961 12144849925 31576609805 157883049025