Search a number
-
+
19286265625 = 561121012
BaseRepresentation
bin10001111101100011…
…010000111100011001
31211210002111210202021
4101331203100330121
5303444241000000
612505431334441
71251634360444
oct217543207431
954702453667
1019286265625
1181a7659900
1238a2b21421
131a84869cc3
14d0d5b465b
1577d28411a
hex47d8d0f19

19286265625 has 63 divisors (see below), whose sum is σ = 26763309769. Its totient is φ = 13887500000.

The previous prime is 19286265599. The next prime is 19286265641. The reversal of 19286265625 is 52656268291.

The square root of 19286265625 is 138875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 18794490649 + 491774976 = 137093^2 + 22176^2 .

It is not a de Polignac number, because 19286265625 - 29 = 19286265113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 190953075 + ... + 190953175.

Almost surely, 219286265625 is an apocalyptic number.

19286265625 is the 138875-th square number.

19286265625 is the 69438-th centered octagonal number.

It is an amenable number.

19286265625 is a deficient number, since it is larger than the sum of its proper divisors (7477044144).

19286265625 is an frugal number, since it uses more digits than its factorization.

19286265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 117 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 19286265625 in words is "nineteen billion, two hundred eighty-six million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 101 121 125 275 505 605 625 1111 1375 2525 3025 3125 5555 6875 10201 12221 12625 15125 15625 27775 34375 51005 61105 63125 75625 112211 138875 171875 255025 305525 315625 378125 561055 694375 1234321 1275125 1527625 1578125 1890625 2805275 3471875 6171605 6375625 7638125 14026375 17359375 30858025 31878125 38190625 70131875 154290125 159390625 190953125 350659375 771450625 1753296875 3857253125 19286265625