Search a number
-
+
5487250245120 = 293357219711201
BaseRepresentation
bin100111111011001100110…
…0110100000011000000000
3201102120112220102011222000
41033312121212200120000
51204400342030320440
615400450304144000
71104304114336500
oct117663146403000
921376486364860
105487250245120
111826147790456
12747571008000
1330a5a393a487
1414d827581a00
1597b08d84730
hex4fd999a0600

5487250245120 has 1920 divisors, whose sum is σ = 24223042483200. Its totient is φ = 1170505728000.

The previous prime is 5487250245119. The next prime is 5487250245181. The reversal of 5487250245120 is 215420527845.

5487250245120 is a `hidden beast` number, since 5 + 4 + 8 + 72 + 502 + 4 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4568900520 + ... + 4568901720.

It is an arithmetic number, because the mean of its divisors is an integer number (12616167960).

Almost surely, 25487250245120 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 5487250245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111521241600).

5487250245120 is an abundant number, since it is smaller than the sum of its proper divisors (18735792238080).

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

5487250245120 is a wasteful number, since it uses less digits than its factorization.

5487250245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 5487250245120 in words is "five trillion, four hundred eighty-seven billion, two hundred fifty million, two hundred forty-five thousand, one hundred twenty".