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243152541025 = 52986212
BaseRepresentation
bin1110001001110100000…
…1010101010101100001
3212020121201101220021121
43202131001111111201
512440434022303100
6303411442452241
723365355332342
oct3423501252541
9766551356247
10243152541025
11941362a7a49
123b15b364081
1319c10564614
14baa92420c9
1564d1ad251a
hex389d055561

243152541025 has 9 divisors (see below), whose sum is σ = 301512208153. Its totient is φ = 194520060400.

The previous prime is 243152540963. The next prime is 243152541041. The reversal of 243152541025 is 520145251342.

It is a happy number.

The square root of 243152541025 is 493105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80175621409 + 162976919616 = 283153^2 + 403704^2 .

It is not a de Polignac number, because 243152541025 - 233 = 234562606433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2416215 + ... + 2514835.

Almost surely, 2243152541025 is an apocalyptic number.

243152541025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

243152541025 is the 493105-th square number.

243152541025 is the 246553-rd centered octagonal number.

It is an amenable number.

243152541025 is a deficient number, since it is larger than the sum of its proper divisors (58359667128).

243152541025 is an frugal number, since it uses more digits than its factorization.

243152541025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197252 (or 98626 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 243152541025 its reverse (520145251342), we get a palindrome (763297792367).

The spelling of 243152541025 in words is "two hundred forty-three billion, one hundred fifty-two million, five hundred forty-one thousand, twenty-five".

Divisors: 1 5 25 98621 493105 2465525 9726101641 48630508205 243152541025