Search a number
-
+
6048928930560 = 283579107331563
BaseRepresentation
bin101100000000110000001…
…0000101001101100000000
3210102021100020221202110120
41120001200100221230000
51243101201301234220
620510501203500240
71163010045363405
oct130014020515400
923367306852416
106048928930560
111a2237776014a
128183a6087680
1334b54723b109
1416caac1922ac
15a752e7ada40
hex58060429b00

6048928930560 has 576 divisors, whose sum is σ = 19840977838080. Its totient is φ = 1570184478720.

The previous prime is 6048928930559. The next prime is 6048928930571. The reversal of 6048928930560 is 650398298406.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6048928930494 and 6048928930503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10744100839 + ... + 10744101401.

It is an arithmetic number, because the mean of its divisors is an integer number (34446142080).

Almost surely, 26048928930560 is an apocalyptic number.

6048928930560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048928930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920488919040).

6048928930560 is an abundant number, since it is smaller than the sum of its proper divisors (13792048907520).

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

6048928930560 is a wasteful number, since it uses less digits than its factorization.

6048928930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 6048928930560 in words is "six trillion, forty-eight billion, nine hundred twenty-eight million, nine hundred thirty thousand, five hundred sixty".