Search a number
-
+
5781194560 = 26533753609
BaseRepresentation
bin1010110001001011…
…00000011101000000
3112220220100010001001
411120211200131000
543314441211220
62353355021344
7263156225431
oct53045403500
915826303031
105781194560
1124a7374049
12115413a854
13711958cab
143cbb33488
1523c81680a
hex158960740

5781194560 has 56 divisors (see below), whose sum is σ = 13807577160. Its totient is φ = 2305572864.

The previous prime is 5781194527. The next prime is 5781194563. The reversal of 5781194560 is 654911875.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 5670692416 = 10512^2 + 75304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5781194560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5781194563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81036 + ... + 134644.

Almost surely, 25781194560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5781194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903788580).

5781194560 is an abundant number, since it is smaller than the sum of its proper divisors (8026382600).

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

5781194560 is a wasteful number, since it uses less digits than its factorization.

5781194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53963 (or 53953 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 5781194560 is about 76034.1670566595. The cubic root of 5781194560 is about 1794.7578509642.

The spelling of 5781194560 in words is "five billion, seven hundred eighty-one million, one hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 5392 6740 10784 13480 21568 26960 53609 53920 107218 107840 214436 268045 428872 536090 857744 1072180 1715488 2144360 3430976 4288720 8577440 17154880 18066233 36132466 72264932 90331165 144529864 180662330 289059728 361324660 578119456 722649320 1156238912 1445298640 2890597280 5781194560