Search a number
-
+
23868705025 = 52112534
BaseRepresentation
bin10110001110101011…
…111000100100000001
32021121110011211212001
4112032223320210001
5342340342030100
614544245104001
71503326434204
oct261653704401
967543154761
1023868705025
11a139297400
1247616b8001
1323350492c9
14122601d93b
1594a708d6a
hex58eaf8901

23868705025 has 45 divisors (see below), whose sum is σ = 33158077183. Its totient is φ = 17031528800.

The previous prime is 23868705023. The next prime is 23868705089. The reversal of 23868705025 is 52050786832.

It is a happy number.

The square root of 23868705025 is 154495.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4889785329 + 18978919696 = 69927^2 + 137764^2 .

It is not a de Polignac number, because 23868705025 - 21 = 23868705023 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23868705023) 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, 450352899 + ... + 450352951.

Almost surely, 223868705025 is an apocalyptic number.

23868705025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23868705025 is the 154495-th square number.

23868705025 is the 77248-th centered octagonal number.

It is an amenable number.

23868705025 is a deficient number, since it is larger than the sum of its proper divisors (9289372158).

23868705025 is an frugal number, since it uses more digits than its factorization.

23868705025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 23868705025 in words is "twenty-three billion, eight hundred sixty-eight million, seven hundred five thousand, twenty-five".

Divisors: 1 5 11 25 53 55 121 265 275 583 605 1325 2809 2915 3025 6413 14045 14575 30899 32065 70225 148877 154495 160325 339889 744385 772475 1637647 1699445 3721925 7890481 8188235 8497225 18014117 39452405 40941175 86795291 90070585 197262025 433976455 450352925 954748201 2169882275 4773741005 23868705025