Search a number
-
+
5473330248960 = 283257173992567
BaseRepresentation
bin100111110100101101111…
…1001111011110100000000
3201101020121210111010000200
41033221123321323310000
51204133340020431320
615350225130245200
71103302140331350
oct117513371736400
921336553433020
105473330248960
1118202542662a2
12744927286800
13309195a90662
1414cca6972b60
1597591ca6290
hex4fa5be7bd00

5473330248960 has 432 divisors, whose sum is σ = 22915551649536. Its totient is φ = 1177455624192.

The previous prime is 5473330248949. The next prime is 5473330248989. The reversal of 5473330248960 is 698420333745.

5473330248960 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 330 + 248 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5473330248897 and 5473330248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625404 + ... + 3367163.

It is an arithmetic number, because the mean of its divisors is an integer number (53045258448).

Almost surely, 25473330248960 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 5473330248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457775824768).

5473330248960 is an abundant number, since it is smaller than the sum of its proper divisors (17442221400576).

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

5473330248960 is a wasteful number, since it uses less digits than its factorization.

5473330248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992618 (or 3992601 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 5473330248960 in words is "five trillion, four hundred seventy-three billion, three hundred thirty million, two hundred forty-eight thousand, nine hundred sixty".