Search a number
-
+
2383858800625 = 5415124092
BaseRepresentation
bin100010101100001001000…
…011101001011111110001
322102220011012220100000211
4202230021003221133301
5303024120323110000
65023043555144121
7334141146321541
oct42541103513761
98386135810024
102383858800625
11839a97167195
123260115a5041
13143a48aac263
1483545047321
15420227dd7ba
hex22b090e97f1

2383858800625 has 45 divisors (see below), whose sum is σ = 3006077999463. Its totient is φ = 1889825400000.

The previous prime is 2383858800623. The next prime is 2383858800677. The reversal of 2383858800625 is 5260088583832.

It is a happy number.

The square root of 2383858800625 is 1543975.

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 719387259889 + 1664471540736 = 848167^2 + 1290144^2 .

It is not a de Polignac number, because 2383858800625 - 21 = 2383858800623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2383858800625.

It is not an unprimeable number, because it can be changed into a prime (2383858800623) 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, 5828505421 + ... + 5828505829.

Almost surely, 22383858800625 is an apocalyptic number.

2383858800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2383858800625 is the 1543975-th square number.

2383858800625 is the 771988-th centered octagonal number.

It is an amenable number.

2383858800625 is a deficient number, since it is larger than the sum of its proper divisors (622219198838).

2383858800625 is an frugal number, since it uses more digits than its factorization.

2383858800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 2383858800625 in words is "two trillion, three hundred eighty-three billion, eight hundred fifty-eight million, eight hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 151 409 625 755 2045 3775 10225 18875 22801 51125 61759 94375 114005 167281 255625 308795 570025 836405 1543975 2850125 4182025 7719875 9325609 14250625 20910125 25259431 38599375 46628045 104550625 126297155 233140225 631485775 1165701125 3157428875 3814174081 5828505625 15787144375 19070870405 95354352025 476771760125 2383858800625