Search a number
-
+
245575749136 = 2422925412
BaseRepresentation
bin1110010010110101110…
…1001000111000010000
3212110212121002121220011
43210231131020320100
513010414342433021
6304452124324304
723512411266124
oct3445535107020
9773777077804
10245575749136
119516a121083
123b7169a3694
131a2085b7983
14bc58dc3584
1565c46dede1
hex392d748e10

245575749136 has 45 divisors (see below), whose sum is σ = 478774807623. Its totient is φ = 122025709440.

The previous prime is 245575749131. The next prime is 245575749137. The reversal of 245575749136 is 631947575542.

The square root of 245575749136 is 495556.

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 40258014736 + 205317734400 = 200644^2 + 453120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245575749131) by changing a digit.

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, 453929026 + ... + 453929566.

Almost surely, 2245575749136 is an apocalyptic number.

245575749136 is the 495556-th square number.

It is an amenable number.

245575749136 is a deficient number, since it is larger than the sum of its proper divisors (233199058487).

245575749136 is an frugal number, since it uses more digits than its factorization.

245575749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 772 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 58.

The spelling of 245575749136 in words is "two hundred forty-five billion, five hundred seventy-five million, seven hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 229 458 541 916 1082 1832 2164 3664 4328 8656 52441 104882 123889 209764 247778 292681 419528 495556 585362 839056 991112 1170724 1982224 2341448 4682896 28370581 56741162 67023949 113482324 134047898 226964648 268095796 453929296 536191592 1072383184 15348484321 30696968642 61393937284 122787874568 245575749136