Search a number
-
+
252124144425 = 33521721971603
BaseRepresentation
bin1110101011001111000…
…1010010001100101001
3220002202222001120111000
43222303301102030221
513112322240110200
6311454011225213
724133604603436
oct3526361221451
9802688046430
10252124144425
1197a1a56340a
1240a43a48209
131aa1018169a
14c2ba984b8d
156859550300
hex3ab3c52329

252124144425 has 48 divisors (see below), whose sum is σ = 490406201280. Its totient is φ = 126556427520.

The previous prime is 252124144387. The next prime is 252124144439. The reversal of 252124144425 is 524441421252.

252124144425 is a `hidden beast` number, since 2 + 5 + 212 + 4 + 14 + 4 + 425 = 666.

252124144425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252124144425 - 26 = 252124144361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252124144425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10974327 + ... + 10997276.

It is an arithmetic number, because the mean of its divisors is an integer number (10216795860).

Almost surely, 2252124144425 is an apocalyptic number.

252124144425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252124144425 is a deficient number, since it is larger than the sum of its proper divisors (238282056855).

252124144425 is a wasteful number, since it uses less digits than its factorization.

252124144425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971639 (or 21971628 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 252124144425 its reverse (524441421252), we get a palindrome (776565565677).

The spelling of 252124144425 in words is "two hundred fifty-two billion, one hundred twenty-four million, one hundred forty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 135 153 225 255 425 459 675 765 1275 2295 3825 11475 21971603 65914809 109858015 197744427 329574045 373517251 549290075 593233281 988722135 1120551753 1647870225 1867586255 2966166405 3361655259 4943610675 5602758765 9337931275 10084965777 14830832025 16808276295 28013793825 50424828885 84041381475 252124144425