Search a number
-
+
536560312340 = 2251310120432609
BaseRepresentation
bin1111100111011010111…
…11001010000000010100
31220021221210220000022202
413303231133022000110
532242333414443330
61050254205344032
753523315255263
oct7635537120024
91807853800282
10536560312340
11197610343268
1287ba4b68018
133b79c6bcba0
141bd80a525da
15de55673445
hex7ced7ca014

536560312340 has 48 divisors (see below), whose sum is σ = 1225466217360. Its totient is φ = 196153036800.

The previous prime is 536560312339. The next prime is 536560312361. The reversal of 536560312340 is 43213065635.

It can be written as a sum of positive squares in 8 ways, for example, as 84892980496 + 451667331844 = 291364^2 + 672062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 536560312294 and 536560312303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10190045 + ... + 10242564.

It is an arithmetic number, because the mean of its divisors is an integer number (25530546195).

Almost surely, 2536560312340 is an apocalyptic number.

It is an amenable number.

536560312340 is an abundant number, since it is smaller than the sum of its proper divisors (688905905020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

536560312340 is a wasteful number, since it uses less digits than its factorization.

536560312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432732 (or 20432730 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 536560312340 its reverse (43213065635), we get a palindrome (579773377975).

The spelling of 536560312340 in words is "five hundred thirty-six billion, five hundred sixty million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 20432609 40865218 81730436 102163045 204326090 265623917 408652180 531247834 1062495668 1328119585 2063693509 2656239170 4127387018 5312478340 8254774036 10318467545 20636935090 26828015617 41273870180 53656031234 107312062468 134140078085 268280156170 536560312340