Search a number
-
+
536560645009 = 331222132
BaseRepresentation
bin1111100111011011000…
…00011011001110010001
31220021221211111220122211
413303231200123032101
532242334011120014
61050254220432121
753523321142204
oct7635540331621
91807854456584
10536560645009
111976105501a4
1287ba50a8641
133b79c7a842c
141bd80adb93b
15de556dbcc4
hex7ced81b391

536560645009 has 9 divisors (see below), whose sum is σ = 538429874619. Its totient is φ = 534697889880.

The previous prime is 536560645007. The next prime is 536560645043. The reversal of 536560645009 is 900546065635.

The square root of 536560645009 is 732503.

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

It can be written as a sum of positive squares in only one way, i.e., 532688321025 + 3872323984 = 729855^2 + 62228^2 .

It is not a de Polignac number, because 536560645009 - 21 = 536560645007 is a prime.

It is a super-2 number, since 2×5365606450092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536560645007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 242457387 + ... + 242459599.

Almost surely, 2536560645009 is an apocalyptic number.

536560645009 is the 732503-rd square number.

536560645009 is the 366252-nd centered octagonal number.

It is an amenable number.

536560645009 is a deficient number, since it is larger than the sum of its proper divisors (1869229610).

536560645009 is an frugal number, since it uses more digits than its factorization.

536560645009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

Multiplying 536560645009 by its sum of digits (49), we get a square (26291471605441 = 51275212).

It can be divided in two parts, 536560 and 645009, that added together give a square (1181569 = 10872).

The spelling of 536560645009 in words is "five hundred thirty-six billion, five hundred sixty million, six hundred forty-five thousand, nine".

Divisors: 1 331 2213 109561 732503 4897369 242458493 1621029139 536560645009